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Finding the Fourth Proportional to 6,312.59, 9,458.50 and 3,839.96

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Solution

The fourth proportional to 6,312.59, 9,458.50 and 3,839.96 is: 5,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.59 : 9,458.50 = 3,839.96 : x
  2. Step 2: Convert to fraction form
    6,312.59/9,458.50 = 3,839.96/x
  3. Step 3: Cross multiply
    6,312.59x = 9,458.50 × 3,839.96
  4. Step 4: Simplify right side
    6,312.59x = 36,320,261.66
  5. Step 5: Solve for x
    x = 36,320,261.66/6,312.59
  6. Step 6: Final answer
    x = 5,753.62

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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.