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Finding the Fourth Proportional to 7,002.62, 9,654.33 and 5,656.71

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Solution

The fourth proportional to 7,002.62, 9,654.33 and 5,656.71 is: 7,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.62 : 9,654.33 = 5,656.71 : x
  2. Step 2: Convert to fraction form
    7,002.62/9,654.33 = 5,656.71/x
  3. Step 3: Cross multiply
    7,002.62x = 9,654.33 × 5,656.71
  4. Step 4: Simplify right side
    7,002.62x = 54,611,745.05
  5. Step 5: Solve for x
    x = 54,611,745.05/7,002.62
  6. Step 6: Final answer
    x = 7,798.76

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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.