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Finding the Fourth Proportional to 9,732.92, 13,432.08 and 5,541.20

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Solution

The fourth proportional to 9,732.92, 13,432.08 and 5,541.20 is: 7,647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.92 : 13,432.08 = 5,541.20 : x
  2. Step 2: Convert to fraction form
    9,732.92/13,432.08 = 5,541.20/x
  3. Step 3: Cross multiply
    9,732.92x = 13,432.08 × 5,541.20
  4. Step 4: Simplify right side
    9,732.92x = 74,429,841.70
  5. Step 5: Solve for x
    x = 74,429,841.70/9,732.92
  6. Step 6: Final answer
    x = 7,647.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.