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Finding the Fourth Proportional to 9,689.76, 13,372.38 and 5,497.92

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Solution

The fourth proportional to 9,689.76, 13,372.38 and 5,497.92 is: 7,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.76 : 13,372.38 = 5,497.92 : x
  2. Step 2: Convert to fraction form
    9,689.76/13,372.38 = 5,497.92/x
  3. Step 3: Cross multiply
    9,689.76x = 13,372.38 × 5,497.92
  4. Step 4: Simplify right side
    9,689.76x = 73,520,275.45
  5. Step 5: Solve for x
    x = 73,520,275.45/9,689.76
  6. Step 6: Final answer
    x = 7,587.42

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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.