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Finding the Fourth Proportional to 6,264.80, 9,401.76 and 5,046.92

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Solution

The fourth proportional to 6,264.80, 9,401.76 and 5,046.92 is: 7,574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.80 : 9,401.76 = 5,046.92 : x
  2. Step 2: Convert to fraction form
    6,264.80/9,401.76 = 5,046.92/x
  3. Step 3: Cross multiply
    6,264.80x = 9,401.76 × 5,046.92
  4. Step 4: Simplify right side
    6,264.80x = 47,449,930.58
  5. Step 5: Solve for x
    x = 47,449,930.58/6,264.80
  6. Step 6: Final answer
    x = 7,574.05

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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.