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Finding the Fourth Proportional to 7,116.62, 9,825.55 and 6,369.28

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Solution

The fourth proportional to 7,116.62, 9,825.55 and 6,369.28 is: 8,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.62 : 9,825.55 = 6,369.28 : x
  2. Step 2: Convert to fraction form
    7,116.62/9,825.55 = 6,369.28/x
  3. Step 3: Cross multiply
    7,116.62x = 9,825.55 × 6,369.28
  4. Step 4: Simplify right side
    7,116.62x = 62,581,638.62
  5. Step 5: Solve for x
    x = 62,581,638.62/7,116.62
  6. Step 6: Final answer
    x = 8,793.74

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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.