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Finding the Fourth Proportional to 10,225.29, 15,356.43 and 9,402.06

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Solution

The fourth proportional to 10,225.29, 15,356.43 and 9,402.06 is: 14,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,225.29 : 15,356.43 = 9,402.06 : x
  2. Step 2: Convert to fraction form
    10,225.29/15,356.43 = 9,402.06/x
  3. Step 3: Cross multiply
    10,225.29x = 15,356.43 × 9,402.06
  4. Step 4: Simplify right side
    10,225.29x = 144,382,076.25
  5. Step 5: Solve for x
    x = 144,382,076.25/10,225.29
  6. Step 6: Final answer
    x = 14,120.10

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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.