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Finding the Fourth Proportional to 9,076.52, 12,524.46 and 5,097.62

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Solution

The fourth proportional to 9,076.52, 12,524.46 and 5,097.62 is: 7,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.52 : 12,524.46 = 5,097.62 : x
  2. Step 2: Convert to fraction form
    9,076.52/12,524.46 = 5,097.62/x
  3. Step 3: Cross multiply
    9,076.52x = 12,524.46 × 5,097.62
  4. Step 4: Simplify right side
    9,076.52x = 63,844,937.79
  5. Step 5: Solve for x
    x = 63,844,937.79/9,076.52
  6. Step 6: Final answer
    x = 7,034.08

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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.