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Finding the Fourth Proportional to 10,229.29, 15,362.43 and 9,406.06

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Solution

The fourth proportional to 10,229.29, 15,362.43 and 9,406.06 is: 14,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,229.29 : 15,362.43 = 9,406.06 : x
  2. Step 2: Convert to fraction form
    10,229.29/15,362.43 = 9,406.06/x
  3. Step 3: Cross multiply
    10,229.29x = 15,362.43 × 9,406.06
  4. Step 4: Simplify right side
    10,229.29x = 144,499,938.33
  5. Step 5: Solve for x
    x = 144,499,938.33/10,229.29
  6. Step 6: Final answer
    x = 14,126.10

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