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Finding the Fourth Proportional to 6,543.98, 9,030.49 and 3,711.61

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Solution

The fourth proportional to 6,543.98, 9,030.49 and 3,711.61 is: 5,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.98 : 9,030.49 = 3,711.61 : x
  2. Step 2: Convert to fraction form
    6,543.98/9,030.49 = 3,711.61/x
  3. Step 3: Cross multiply
    6,543.98x = 9,030.49 × 3,711.61
  4. Step 4: Simplify right side
    6,543.98x = 33,517,656.99
  5. Step 5: Solve for x
    x = 33,517,656.99/6,543.98
  6. Step 6: Final answer
    x = 5,121.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.