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Finding the Fourth Proportional to 10,435.50, 15,715.76 and 9,502.38

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Solution

The fourth proportional to 10,435.50, 15,715.76 and 9,502.38 is: 14,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.50 : 15,715.76 = 9,502.38 : x
  2. Step 2: Convert to fraction form
    10,435.50/15,715.76 = 9,502.38/x
  3. Step 3: Cross multiply
    10,435.50x = 15,715.76 × 9,502.38
  4. Step 4: Simplify right side
    10,435.50x = 149,337,076.00
  5. Step 5: Solve for x
    x = 149,337,076.00/10,435.50
  6. Step 6: Final answer
    x = 14,310.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.