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Finding the Fourth Proportional to 6,520.79, 9,770.45 and 6,278.19

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Solution

The fourth proportional to 6,520.79, 9,770.45 and 6,278.19 is: 9,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.79 : 9,770.45 = 6,278.19 : x
  2. Step 2: Convert to fraction form
    6,520.79/9,770.45 = 6,278.19/x
  3. Step 3: Cross multiply
    6,520.79x = 9,770.45 × 6,278.19
  4. Step 4: Simplify right side
    6,520.79x = 61,340,710.09
  5. Step 5: Solve for x
    x = 61,340,710.09/6,520.79
  6. Step 6: Final answer
    x = 9,406.95

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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.