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Finding the Fourth Proportional to 7,132.86, 9,844.34 and 3,989.25

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Solution

The fourth proportional to 7,132.86, 9,844.34 and 3,989.25 is: 5,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.86 : 9,844.34 = 3,989.25 : x
  2. Step 2: Convert to fraction form
    7,132.86/9,844.34 = 3,989.25/x
  3. Step 3: Cross multiply
    7,132.86x = 9,844.34 × 3,989.25
  4. Step 4: Simplify right side
    7,132.86x = 39,271,513.40
  5. Step 5: Solve for x
    x = 39,271,513.40/7,132.86
  6. Step 6: Final answer
    x = 5,505.72

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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.