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Finding the Fourth Proportional to 6,103.10, 9,148.14 and 4,366.46

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Solution

The fourth proportional to 6,103.10, 9,148.14 and 4,366.46 is: 6,545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.10 : 9,148.14 = 4,366.46 : x
  2. Step 2: Convert to fraction form
    6,103.10/9,148.14 = 4,366.46/x
  3. Step 3: Cross multiply
    6,103.10x = 9,148.14 × 4,366.46
  4. Step 4: Simplify right side
    6,103.10x = 39,944,987.38
  5. Step 5: Solve for x
    x = 39,944,987.38/6,103.10
  6. Step 6: Final answer
    x = 6,545.03

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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.