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Finding the Fourth Proportional to 6,714.72, 9,257.76 and 4,615.20

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Solution

The fourth proportional to 6,714.72, 9,257.76 and 4,615.20 is: 6,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.72 : 9,257.76 = 4,615.20 : x
  2. Step 2: Convert to fraction form
    6,714.72/9,257.76 = 4,615.20/x
  3. Step 3: Cross multiply
    6,714.72x = 9,257.76 × 4,615.20
  4. Step 4: Simplify right side
    6,714.72x = 42,726,413.95
  5. Step 5: Solve for x
    x = 42,726,413.95/6,714.72
  6. Step 6: Final answer
    x = 6,363.10

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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.