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Finding the Fourth Proportional to 6,499.76, 8,959.56 and 6,149.84

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Solution

The fourth proportional to 6,499.76, 8,959.56 and 6,149.84 is: 8,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.76 : 8,959.56 = 6,149.84 : x
  2. Step 2: Convert to fraction form
    6,499.76/8,959.56 = 6,149.84/x
  3. Step 3: Cross multiply
    6,499.76x = 8,959.56 × 6,149.84
  4. Step 4: Simplify right side
    6,499.76x = 55,099,860.47
  5. Step 5: Solve for x
    x = 55,099,860.47/6,499.76
  6. Step 6: Final answer
    x = 8,477.21

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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.