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Finding the Fourth Proportional to 6,115.30, 9,162.15 and 5,013.70

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Solution

The fourth proportional to 6,115.30, 9,162.15 and 5,013.70 is: 7,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.30 : 9,162.15 = 5,013.70 : x
  2. Step 2: Convert to fraction form
    6,115.30/9,162.15 = 5,013.70/x
  3. Step 3: Cross multiply
    6,115.30x = 9,162.15 × 5,013.70
  4. Step 4: Simplify right side
    6,115.30x = 45,936,271.46
  5. Step 5: Solve for x
    x = 45,936,271.46/6,115.30
  6. Step 6: Final answer
    x = 7,511.70

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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.