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Finding the Fourth Proportional to 9,084.57, 12,536.31 and 5,105.59

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Solution

The fourth proportional to 9,084.57, 12,536.31 and 5,105.59 is: 7,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.57 : 12,536.31 = 5,105.59 : x
  2. Step 2: Convert to fraction form
    9,084.57/12,536.31 = 5,105.59/x
  3. Step 3: Cross multiply
    9,084.57x = 12,536.31 × 5,105.59
  4. Step 4: Simplify right side
    9,084.57x = 64,005,258.97
  5. Step 5: Solve for x
    x = 64,005,258.97/9,084.57
  6. Step 6: Final answer
    x = 7,045.49

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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.