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Finding the Fourth Proportional to 6,098.35, 9,129.70 and 5,514.69

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Solution

The fourth proportional to 6,098.35, 9,129.70 and 5,514.69 is: 8,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.35 : 9,129.70 = 5,514.69 : x
  2. Step 2: Convert to fraction form
    6,098.35/9,129.70 = 5,514.69/x
  3. Step 3: Cross multiply
    6,098.35x = 9,129.70 × 5,514.69
  4. Step 4: Simplify right side
    6,098.35x = 50,347,465.29
  5. Step 5: Solve for x
    x = 50,347,465.29/6,098.35
  6. Step 6: Final answer
    x = 8,255.92

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