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Finding the Fourth Proportional to 9,920.61, 14,882.94 and 3,346.65

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Solution

The fourth proportional to 9,920.61, 14,882.94 and 3,346.65 is: 5,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.61 : 14,882.94 = 3,346.65 : x
  2. Step 2: Convert to fraction form
    9,920.61/14,882.94 = 3,346.65/x
  3. Step 3: Cross multiply
    9,920.61x = 14,882.94 × 3,346.65
  4. Step 4: Simplify right side
    9,920.61x = 49,807,991.15
  5. Step 5: Solve for x
    x = 49,807,991.15/9,920.61
  6. Step 6: Final answer
    x = 5,020.66

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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.