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Finding the Fourth Proportional to 9,681.96, 14,513.13 and 6,562.29

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Solution

The fourth proportional to 9,681.96, 14,513.13 and 6,562.29 is: 9,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.96 : 14,513.13 = 6,562.29 : x
  2. Step 2: Convert to fraction form
    9,681.96/14,513.13 = 6,562.29/x
  3. Step 3: Cross multiply
    9,681.96x = 14,513.13 × 6,562.29
  4. Step 4: Simplify right side
    9,681.96x = 95,239,367.87
  5. Step 5: Solve for x
    x = 95,239,367.87/9,681.96
  6. Step 6: Final answer
    x = 9,836.79

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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.