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Finding the Fourth Proportional to 10,294.31, 15,412.06 and 9,640.40

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Solution

The fourth proportional to 10,294.31, 15,412.06 and 9,640.40 is: 14,433.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.31 : 15,412.06 = 9,640.40 : x
  2. Step 2: Convert to fraction form
    10,294.31/15,412.06 = 9,640.40/x
  3. Step 3: Cross multiply
    10,294.31x = 15,412.06 × 9,640.40
  4. Step 4: Simplify right side
    10,294.31x = 148,578,437.65
  5. Step 5: Solve for x
    x = 148,578,437.65/10,294.31
  6. Step 6: Final answer
    x = 14,433.06

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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.