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Finding the Fourth Proportional to 7,132.74, 9,842.25 and 3,989.50

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Solution

The fourth proportional to 7,132.74, 9,842.25 and 3,989.50 is: 5,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.74 : 9,842.25 = 3,989.50 : x
  2. Step 2: Convert to fraction form
    7,132.74/9,842.25 = 3,989.50/x
  3. Step 3: Cross multiply
    7,132.74x = 9,842.25 × 3,989.50
  4. Step 4: Simplify right side
    7,132.74x = 39,265,656.38
  5. Step 5: Solve for x
    x = 39,265,656.38/7,132.74
  6. Step 6: Final answer
    x = 5,504.99

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Why These Related Problems?

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