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Finding the Fourth Proportional to 6,900.81, 9,517.98 and 4,380.74

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Solution

The fourth proportional to 6,900.81, 9,517.98 and 4,380.74 is: 6,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.81 : 9,517.98 = 4,380.74 : x
  2. Step 2: Convert to fraction form
    6,900.81/9,517.98 = 4,380.74/x
  3. Step 3: Cross multiply
    6,900.81x = 9,517.98 × 4,380.74
  4. Step 4: Simplify right side
    6,900.81x = 41,695,748.12
  5. Step 5: Solve for x
    x = 41,695,748.12/6,900.81
  6. Step 6: Final answer
    x = 6,042.15

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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.