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Finding the Fourth Proportional to 6,462.18, 9,691.25 and 4,282.47

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Solution

The fourth proportional to 6,462.18, 9,691.25 and 4,282.47 is: 6,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.18 : 9,691.25 = 4,282.47 : x
  2. Step 2: Convert to fraction form
    6,462.18/9,691.25 = 4,282.47/x
  3. Step 3: Cross multiply
    6,462.18x = 9,691.25 × 4,282.47
  4. Step 4: Simplify right side
    6,462.18x = 41,502,465.98
  5. Step 5: Solve for x
    x = 41,502,465.98/6,462.18
  6. Step 6: Final answer
    x = 6,422.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.