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Finding the Fourth Proportional to 9,107.60, 13,665.72 and 3,264.80

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Solution

The fourth proportional to 9,107.60, 13,665.72 and 3,264.80 is: 4,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.60 : 13,665.72 = 3,264.80 : x
  2. Step 2: Convert to fraction form
    9,107.60/13,665.72 = 3,264.80/x
  3. Step 3: Cross multiply
    9,107.60x = 13,665.72 × 3,264.80
  4. Step 4: Simplify right side
    9,107.60x = 44,615,842.66
  5. Step 5: Solve for x
    x = 44,615,842.66/9,107.60
  6. Step 6: Final answer
    x = 4,898.75

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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.