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Finding the Fourth Proportional to 9,141.60, 13,712.40 and 8,752.80

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Solution

The fourth proportional to 9,141.60, 13,712.40 and 8,752.80 is: 13,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.60 : 13,712.40 = 8,752.80 : x
  2. Step 2: Convert to fraction form
    9,141.60/13,712.40 = 8,752.80/x
  3. Step 3: Cross multiply
    9,141.60x = 13,712.40 × 8,752.80
  4. Step 4: Simplify right side
    9,141.60x = 120,021,894.72
  5. Step 5: Solve for x
    x = 120,021,894.72/9,141.60
  6. Step 6: Final answer
    x = 13,129.20

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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.