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Finding the Fourth Proportional to 9,171.60, 13,757.40 and 9,085.20

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Solution

The fourth proportional to 9,171.60, 13,757.40 and 9,085.20 is: 13,627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.60 : 13,757.40 = 9,085.20 : x
  2. Step 2: Convert to fraction form
    9,171.60/13,757.40 = 9,085.20/x
  3. Step 3: Cross multiply
    9,171.60x = 13,757.40 × 9,085.20
  4. Step 4: Simplify right side
    9,171.60x = 124,988,730.48
  5. Step 5: Solve for x
    x = 124,988,730.48/9,171.60
  6. Step 6: Final answer
    x = 13,627.80

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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.