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Finding the Fourth Proportional to 9,121.97, 12,587.96 and 5,143.93

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Solution

The fourth proportional to 9,121.97, 12,587.96 and 5,143.93 is: 7,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.97 : 12,587.96 = 5,143.93 : x
  2. Step 2: Convert to fraction form
    9,121.97/12,587.96 = 5,143.93/x
  3. Step 3: Cross multiply
    9,121.97x = 12,587.96 × 5,143.93
  4. Step 4: Simplify right side
    9,121.97x = 64,751,566.47
  5. Step 5: Solve for x
    x = 64,751,566.47/9,121.97
  6. Step 6: Final answer
    x = 7,098.42

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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.