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Finding the Fourth Proportional to 10,238.32, 15,347.88 and 9,325.30

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Solution

The fourth proportional to 10,238.32, 15,347.88 and 9,325.30 is: 13,979.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.32 : 15,347.88 = 9,325.30 : x
  2. Step 2: Convert to fraction form
    10,238.32/15,347.88 = 9,325.30/x
  3. Step 3: Cross multiply
    10,238.32x = 15,347.88 × 9,325.30
  4. Step 4: Simplify right side
    10,238.32x = 143,123,585.36
  5. Step 5: Solve for x
    x = 143,123,585.36/10,238.32
  6. Step 6: Final answer
    x = 13,979.21

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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.