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Finding the Fourth Proportional to 7,151.49, 9,847.35 and 6,343.20

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Solution

The fourth proportional to 7,151.49, 9,847.35 and 6,343.20 is: 8,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.49 : 9,847.35 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    7,151.49/9,847.35 = 6,343.20/x
  3. Step 3: Cross multiply
    7,151.49x = 9,847.35 × 6,343.20
  4. Step 4: Simplify right side
    7,151.49x = 62,463,710.52
  5. Step 5: Solve for x
    x = 62,463,710.52/7,151.49
  6. Step 6: Final answer
    x = 8,734.36

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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.