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Finding the Fourth Proportional to 9,639.17, 14,442.23 and 6,470.68

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Solution

The fourth proportional to 9,639.17, 14,442.23 and 6,470.68 is: 9,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.17 : 14,442.23 = 6,470.68 : x
  2. Step 2: Convert to fraction form
    9,639.17/14,442.23 = 6,470.68/x
  3. Step 3: Cross multiply
    9,639.17x = 14,442.23 × 6,470.68
  4. Step 4: Simplify right side
    9,639.17x = 93,450,976.61
  5. Step 5: Solve for x
    x = 93,450,976.61/9,639.17
  6. Step 6: Final answer
    x = 9,694.92

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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.