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Finding the Fourth Proportional to 9,147.60, 13,721.40 and 8,845.20

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Solution

The fourth proportional to 9,147.60, 13,721.40 and 8,845.20 is: 13,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.60 : 13,721.40 = 8,845.20 : x
  2. Step 2: Convert to fraction form
    9,147.60/13,721.40 = 8,845.20/x
  3. Step 3: Cross multiply
    9,147.60x = 13,721.40 × 8,845.20
  4. Step 4: Simplify right side
    9,147.60x = 121,368,527.28
  5. Step 5: Solve for x
    x = 121,368,527.28/9,147.60
  6. Step 6: Final answer
    x = 13,267.80

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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.