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Finding the Fourth Proportional to 9,708.18, 14,562.27 and 6,442.14

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Solution

The fourth proportional to 9,708.18, 14,562.27 and 6,442.14 is: 9,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.18 : 14,562.27 = 6,442.14 : x
  2. Step 2: Convert to fraction form
    9,708.18/14,562.27 = 6,442.14/x
  3. Step 3: Cross multiply
    9,708.18x = 14,562.27 × 6,442.14
  4. Step 4: Simplify right side
    9,708.18x = 93,812,182.06
  5. Step 5: Solve for x
    x = 93,812,182.06/9,708.18
  6. Step 6: Final answer
    x = 9,663.21

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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.