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Finding the Fourth Proportional to 11,354.53, 15,684.27 and 9,472.33

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Solution

The fourth proportional to 11,354.53, 15,684.27 and 9,472.33 is: 13,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.53 : 15,684.27 = 9,472.33 : x
  2. Step 2: Convert to fraction form
    11,354.53/15,684.27 = 9,472.33/x
  3. Step 3: Cross multiply
    11,354.53x = 15,684.27 × 9,472.33
  4. Step 4: Simplify right side
    11,354.53x = 148,566,581.25
  5. Step 5: Solve for x
    x = 148,566,581.25/11,354.53
  6. Step 6: Final answer
    x = 13,084.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.