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Finding the Fourth Proportional to 9,717.52, 13,414.80 and 6,590.20

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Solution

The fourth proportional to 9,717.52, 13,414.80 and 6,590.20 is: 9,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.52 : 13,414.80 = 6,590.20 : x
  2. Step 2: Convert to fraction form
    9,717.52/13,414.80 = 6,590.20/x
  3. Step 3: Cross multiply
    9,717.52x = 13,414.80 × 6,590.20
  4. Step 4: Simplify right side
    9,717.52x = 88,406,214.96
  5. Step 5: Solve for x
    x = 88,406,214.96/9,717.52
  6. Step 6: Final answer
    x = 9,097.61

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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.