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Finding the Fourth Proportional to 9,886,661.70, 14,824,586.34 and 7,850,402.56

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Solution

The fourth proportional to 9,886,661.70, 14,824,586.34 and 7,850,402.56 is: 11,771,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886,661.70 : 14,824,586.34 = 7,850,402.56 : x
  2. Step 2: Convert to fraction form
    9,886,661.70/14,824,586.34 = 7,850,402.56/x
  3. Step 3: Cross multiply
    9,886,661.70x = 14,824,586.34 × 7,850,402.56
  4. Step 4: Simplify right side
    9,886,661.70x = 116,378,970,611,164.50
  5. Step 5: Solve for x
    x = 116,378,970,611,164.50/9,886,661.70
  6. Step 6: Final answer
    x = 11,771,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.