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Finding the Fourth Proportional to 6,864.25, 9,472.71 and 3,720.46

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Solution

The fourth proportional to 6,864.25, 9,472.71 and 3,720.46 is: 5,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.25 : 9,472.71 = 3,720.46 : x
  2. Step 2: Convert to fraction form
    6,864.25/9,472.71 = 3,720.46/x
  3. Step 3: Cross multiply
    6,864.25x = 9,472.71 × 3,720.46
  4. Step 4: Simplify right side
    6,864.25x = 35,242,838.65
  5. Step 5: Solve for x
    x = 35,242,838.65/6,864.25
  6. Step 6: Final answer
    x = 5,134.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.