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Finding the Fourth Proportional to 9,131.53, 13,698.06 and 2,557.71

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Solution

The fourth proportional to 9,131.53, 13,698.06 and 2,557.71 is: 3,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.53 : 13,698.06 = 2,557.71 : x
  2. Step 2: Convert to fraction form
    9,131.53/13,698.06 = 2,557.71/x
  3. Step 3: Cross multiply
    9,131.53x = 13,698.06 × 2,557.71
  4. Step 4: Simplify right side
    9,131.53x = 35,035,665.04
  5. Step 5: Solve for x
    x = 35,035,665.04/9,131.53
  6. Step 6: Final answer
    x = 3,836.78

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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.