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Finding the Fourth Proportional to 9,130.78, 12,600.43 and 5,097.38

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Solution

The fourth proportional to 9,130.78, 12,600.43 and 5,097.38 is: 7,034.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.78 : 12,600.43 = 5,097.38 : x
  2. Step 2: Convert to fraction form
    9,130.78/12,600.43 = 5,097.38/x
  3. Step 3: Cross multiply
    9,130.78x = 12,600.43 × 5,097.38
  4. Step 4: Simplify right side
    9,130.78x = 64,229,179.87
  5. Step 5: Solve for x
    x = 64,229,179.87/9,130.78
  6. Step 6: Final answer
    x = 7,034.36

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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.