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Finding the Fourth Proportional to 6,329.48, 9,470.39 and 3,787.16

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Solution

The fourth proportional to 6,329.48, 9,470.39 and 3,787.16 is: 5,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.48 : 9,470.39 = 3,787.16 : x
  2. Step 2: Convert to fraction form
    6,329.48/9,470.39 = 3,787.16/x
  3. Step 3: Cross multiply
    6,329.48x = 9,470.39 × 3,787.16
  4. Step 4: Simplify right side
    6,329.48x = 35,865,815.90
  5. Step 5: Solve for x
    x = 35,865,815.90/6,329.48
  6. Step 6: Final answer
    x = 5,666.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.