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Finding the Fourth Proportional to 6,488.16, 9,732.11 and 2,105.61

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Solution

The fourth proportional to 6,488.16, 9,732.11 and 2,105.61 is: 3,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.16 : 9,732.11 = 2,105.61 : x
  2. Step 2: Convert to fraction form
    6,488.16/9,732.11 = 2,105.61/x
  3. Step 3: Cross multiply
    6,488.16x = 9,732.11 × 2,105.61
  4. Step 4: Simplify right side
    6,488.16x = 20,492,017.61
  5. Step 5: Solve for x
    x = 20,492,017.61/6,488.16
  6. Step 6: Final answer
    x = 3,158.37

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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.