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Finding the Fourth Proportional to 9,786,563.70, 13,729,532.70 and 9,786,563.70

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Solution

The fourth proportional to 9,786,563.70, 13,729,532.70 and 9,786,563.70 is: 13,729,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786,563.70 : 13,729,532.70 = 9,786,563.70 : x
  2. Step 2: Convert to fraction form
    9,786,563.70/13,729,532.70 = 9,786,563.70/x
  3. Step 3: Cross multiply
    9,786,563.70x = 13,729,532.70 × 9,786,563.70
  4. Step 4: Simplify right side
    9,786,563.70x = 134,364,946,339,782.97
  5. Step 5: Solve for x
    x = 134,364,946,339,782.97/9,786,563.70
  6. Step 6: Final answer
    x = 13,729,532.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.