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Finding the Fourth Proportional to 9,132.91, 13,702.91 and 3,585.28

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Solution

The fourth proportional to 9,132.91, 13,702.91 and 3,585.28 is: 5,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.91 : 13,702.91 = 3,585.28 : x
  2. Step 2: Convert to fraction form
    9,132.91/13,702.91 = 3,585.28/x
  3. Step 3: Cross multiply
    9,132.91x = 13,702.91 × 3,585.28
  4. Step 4: Simplify right side
    9,132.91x = 49,128,769.16
  5. Step 5: Solve for x
    x = 49,128,769.16/9,132.91
  6. Step 6: Final answer
    x = 5,379.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.