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Finding the Fourth Proportional to 6,097.90, 9,131.92 and 5,037.23

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Solution

The fourth proportional to 6,097.90, 9,131.92 and 5,037.23 is: 7,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.90 : 9,131.92 = 5,037.23 : x
  2. Step 2: Convert to fraction form
    6,097.90/9,131.92 = 5,037.23/x
  3. Step 3: Cross multiply
    6,097.90x = 9,131.92 × 5,037.23
  4. Step 4: Simplify right side
    6,097.90x = 45,999,535.72
  5. Step 5: Solve for x
    x = 45,999,535.72/6,097.90
  6. Step 6: Final answer
    x = 7,543.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.