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Finding the Fourth Proportional to 9,120.57, 12,587.57 and 5,142.93

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Solution

The fourth proportional to 9,120.57, 12,587.57 and 5,142.93 is: 7,097.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.57 : 12,587.57 = 5,142.93 : x
  2. Step 2: Convert to fraction form
    9,120.57/12,587.57 = 5,142.93/x
  3. Step 3: Cross multiply
    9,120.57x = 12,587.57 × 5,142.93
  4. Step 4: Simplify right side
    9,120.57x = 64,736,991.38
  5. Step 5: Solve for x
    x = 64,736,991.38/9,120.57
  6. Step 6: Final answer
    x = 7,097.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.