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Finding the Fourth Proportional to 10,202.31, 15,258.78 and 9,455.09

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Solution

The fourth proportional to 10,202.31, 15,258.78 and 9,455.09 is: 14,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.31 : 15,258.78 = 9,455.09 : x
  2. Step 2: Convert to fraction form
    10,202.31/15,258.78 = 9,455.09/x
  3. Step 3: Cross multiply
    10,202.31x = 15,258.78 × 9,455.09
  4. Step 4: Simplify right side
    10,202.31x = 144,273,061.90
  5. Step 5: Solve for x
    x = 144,273,061.90/10,202.31
  6. Step 6: Final answer
    x = 14,141.22

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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.