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Finding the Fourth Proportional to 9,544.70, 14,322.06 and 6,933.78

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Solution

The fourth proportional to 9,544.70, 14,322.06 and 6,933.78 is: 10,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.70 : 14,322.06 = 6,933.78 : x
  2. Step 2: Convert to fraction form
    9,544.70/14,322.06 = 6,933.78/x
  3. Step 3: Cross multiply
    9,544.70x = 14,322.06 × 6,933.78
  4. Step 4: Simplify right side
    9,544.70x = 99,306,013.19
  5. Step 5: Solve for x
    x = 99,306,013.19/9,544.70
  6. Step 6: Final answer
    x = 10,404.31

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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.