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Finding the Fourth Proportional to 7,132.42, 9,845.45 and 6,385

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Solution

The fourth proportional to 7,132.42, 9,845.45 and 6,385 is: 8,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.42 : 9,845.45 = 6,385 : x
  2. Step 2: Convert to fraction form
    7,132.42/9,845.45 = 6,385/x
  3. Step 3: Cross multiply
    7,132.42x = 9,845.45 × 6,385
  4. Step 4: Simplify right side
    7,132.42x = 62,863,198.25
  5. Step 5: Solve for x
    x = 62,863,198.25/7,132.42
  6. Step 6: Final answer
    x = 8,813.73

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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.