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Finding the Fourth Proportional to 9,689.64, 13,371.72 and 5,440.80

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Solution

The fourth proportional to 9,689.64, 13,371.72 and 5,440.80 is: 7,508.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.64 : 13,371.72 = 5,440.80 : x
  2. Step 2: Convert to fraction form
    9,689.64/13,371.72 = 5,440.80/x
  3. Step 3: Cross multiply
    9,689.64x = 13,371.72 × 5,440.80
  4. Step 4: Simplify right side
    9,689.64x = 72,752,854.18
  5. Step 5: Solve for x
    x = 72,752,854.18/9,689.64
  6. Step 6: Final answer
    x = 7,508.31

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