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Finding the Fourth Proportional to 6,177.69, 9,269.33 and 3,060.81

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Solution

The fourth proportional to 6,177.69, 9,269.33 and 3,060.81 is: 4,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.69 : 9,269.33 = 3,060.81 : x
  2. Step 2: Convert to fraction form
    6,177.69/9,269.33 = 3,060.81/x
  3. Step 3: Cross multiply
    6,177.69x = 9,269.33 × 3,060.81
  4. Step 4: Simplify right side
    6,177.69x = 28,371,642.65
  5. Step 5: Solve for x
    x = 28,371,642.65/6,177.69
  6. Step 6: Final answer
    x = 4,592.60

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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.