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Finding the Fourth Proportional to 9,127.84, 13,691.76 and 3,282.88

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Solution

The fourth proportional to 9,127.84, 13,691.76 and 3,282.88 is: 4,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.84 : 13,691.76 = 3,282.88 : x
  2. Step 2: Convert to fraction form
    9,127.84/13,691.76 = 3,282.88/x
  3. Step 3: Cross multiply
    9,127.84x = 13,691.76 × 3,282.88
  4. Step 4: Simplify right side
    9,127.84x = 44,948,405.07
  5. Step 5: Solve for x
    x = 44,948,405.07/9,127.84
  6. Step 6: Final answer
    x = 4,924.32

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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.