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Finding the Fourth Proportional to 6,237.64, 9,358.62 and 3,318.04

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Solution

The fourth proportional to 6,237.64, 9,358.62 and 3,318.04 is: 4,978.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.64 : 9,358.62 = 3,318.04 : x
  2. Step 2: Convert to fraction form
    6,237.64/9,358.62 = 3,318.04/x
  3. Step 3: Cross multiply
    6,237.64x = 9,358.62 × 3,318.04
  4. Step 4: Simplify right side
    6,237.64x = 31,052,275.50
  5. Step 5: Solve for x
    x = 31,052,275.50/6,237.64
  6. Step 6: Final answer
    x = 4,978.21

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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.