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Finding the Fourth Proportional to 6,391.20, 9,574.04 and 5,077.17

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Solution

The fourth proportional to 6,391.20, 9,574.04 and 5,077.17 is: 7,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.20 : 9,574.04 = 5,077.17 : x
  2. Step 2: Convert to fraction form
    6,391.20/9,574.04 = 5,077.17/x
  3. Step 3: Cross multiply
    6,391.20x = 9,574.04 × 5,077.17
  4. Step 4: Simplify right side
    6,391.20x = 48,609,003.28
  5. Step 5: Solve for x
    x = 48,609,003.28/6,391.20
  6. Step 6: Final answer
    x = 7,605.61

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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.