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Finding the Fourth Proportional to 6,462.17, 9,693.29 and 2,566.57

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Solution

The fourth proportional to 6,462.17, 9,693.29 and 2,566.57 is: 3,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.17 : 9,693.29 = 2,566.57 : x
  2. Step 2: Convert to fraction form
    6,462.17/9,693.29 = 2,566.57/x
  3. Step 3: Cross multiply
    6,462.17x = 9,693.29 × 2,566.57
  4. Step 4: Simplify right side
    6,462.17x = 24,878,507.32
  5. Step 5: Solve for x
    x = 24,878,507.32/6,462.17
  6. Step 6: Final answer
    x = 3,849.87

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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.