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Finding the Fourth Proportional to 6,317.30, 9,472.82 and 3,685.76

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Solution

The fourth proportional to 6,317.30, 9,472.82 and 3,685.76 is: 5,526.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.30 : 9,472.82 = 3,685.76 : x
  2. Step 2: Convert to fraction form
    6,317.30/9,472.82 = 3,685.76/x
  3. Step 3: Cross multiply
    6,317.30x = 9,472.82 × 3,685.76
  4. Step 4: Simplify right side
    6,317.30x = 34,914,541.04
  5. Step 5: Solve for x
    x = 34,914,541.04/6,317.30
  6. Step 6: Final answer
    x = 5,526.81

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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.