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Finding the Fourth Proportional to 9,287.41, 12,815.86 and 5,095.66

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Solution

The fourth proportional to 9,287.41, 12,815.86 and 5,095.66 is: 7,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.41 : 12,815.86 = 5,095.66 : x
  2. Step 2: Convert to fraction form
    9,287.41/12,815.86 = 5,095.66/x
  3. Step 3: Cross multiply
    9,287.41x = 12,815.86 × 5,095.66
  4. Step 4: Simplify right side
    9,287.41x = 65,305,265.17
  5. Step 5: Solve for x
    x = 65,305,265.17/9,287.41
  6. Step 6: Final answer
    x = 7,031.59

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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.