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Finding the Fourth Proportional to 6,264.20, 9,400.86 and 5,046.32

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Solution

The fourth proportional to 6,264.20, 9,400.86 and 5,046.32 is: 7,573.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.20 : 9,400.86 = 5,046.32 : x
  2. Step 2: Convert to fraction form
    6,264.20/9,400.86 = 5,046.32/x
  3. Step 3: Cross multiply
    6,264.20x = 9,400.86 × 5,046.32
  4. Step 4: Simplify right side
    6,264.20x = 47,439,771.34
  5. Step 5: Solve for x
    x = 47,439,771.34/6,264.20
  6. Step 6: Final answer
    x = 7,573.15

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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.