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Finding the Fourth Proportional to 6,639.68, 9,962.40 and 3,174.68

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Solution

The fourth proportional to 6,639.68, 9,962.40 and 3,174.68 is: 4,763.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,639.68 : 9,962.40 = 3,174.68 : x
  2. Step 2: Convert to fraction form
    6,639.68/9,962.40 = 3,174.68/x
  3. Step 3: Cross multiply
    6,639.68x = 9,962.40 × 3,174.68
  4. Step 4: Simplify right side
    6,639.68x = 31,627,432.03
  5. Step 5: Solve for x
    x = 31,627,432.03/6,639.68
  6. Step 6: Final answer
    x = 4,763.40

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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.