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Finding the Fourth Proportional to 9,176.16, 12,659.04 and 5,448

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Solution

The fourth proportional to 9,176.16, 12,659.04 and 5,448 is: 7,515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.16 : 12,659.04 = 5,448 : x
  2. Step 2: Convert to fraction form
    9,176.16/12,659.04 = 5,448/x
  3. Step 3: Cross multiply
    9,176.16x = 12,659.04 × 5,448
  4. Step 4: Simplify right side
    9,176.16x = 68,966,449.92
  5. Step 5: Solve for x
    x = 68,966,449.92/9,176.16
  6. Step 6: Final answer
    x = 7,515.83

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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.