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Finding the Fourth Proportional to 10,203.31, 15,260.28 and 9,456.09

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Solution

The fourth proportional to 10,203.31, 15,260.28 and 9,456.09 is: 14,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,203.31 : 15,260.28 = 9,456.09 : x
  2. Step 2: Convert to fraction form
    10,203.31/15,260.28 = 9,456.09/x
  3. Step 3: Cross multiply
    10,203.31x = 15,260.28 × 9,456.09
  4. Step 4: Simplify right side
    10,203.31x = 144,302,581.11
  5. Step 5: Solve for x
    x = 144,302,581.11/10,203.31
  6. Step 6: Final answer
    x = 14,142.72

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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.