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Finding the Fourth Proportional to 6,472.16, 9,685.20 and 4,004.96

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Solution

The fourth proportional to 6,472.16, 9,685.20 and 4,004.96 is: 5,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.16 : 9,685.20 = 4,004.96 : x
  2. Step 2: Convert to fraction form
    6,472.16/9,685.20 = 4,004.96/x
  3. Step 3: Cross multiply
    6,472.16x = 9,685.20 × 4,004.96
  4. Step 4: Simplify right side
    6,472.16x = 38,788,838.59
  5. Step 5: Solve for x
    x = 38,788,838.59/6,472.16
  6. Step 6: Final answer
    x = 5,993.18

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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.