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Finding the Fourth Proportional to 9,119.52, 12,584.84 and 5,141.92

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Solution

The fourth proportional to 9,119.52, 12,584.84 and 5,141.92 is: 7,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.52 : 12,584.84 = 5,141.92 : x
  2. Step 2: Convert to fraction form
    9,119.52/12,584.84 = 5,141.92/x
  3. Step 3: Cross multiply
    9,119.52x = 12,584.84 × 5,141.92
  4. Step 4: Simplify right side
    9,119.52x = 64,710,240.49
  5. Step 5: Solve for x
    x = 64,710,240.49/9,119.52
  6. Step 6: Final answer
    x = 7,095.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.