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Finding the Fourth Proportional to 9,632.72, 14,439.68 and 4,702.16

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Solution

The fourth proportional to 9,632.72, 14,439.68 and 4,702.16 is: 7,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.72 : 14,439.68 = 4,702.16 : x
  2. Step 2: Convert to fraction form
    9,632.72/14,439.68 = 4,702.16/x
  3. Step 3: Cross multiply
    9,632.72x = 14,439.68 × 4,702.16
  4. Step 4: Simplify right side
    9,632.72x = 67,897,685.71
  5. Step 5: Solve for x
    x = 67,897,685.71/9,632.72
  6. Step 6: Final answer
    x = 7,048.65

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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.