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Finding the Fourth Proportional to 6,424.80, 9,591.18 and 5,968

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Solution

The fourth proportional to 6,424.80, 9,591.18 and 5,968 is: 8,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.80 : 9,591.18 = 5,968 : x
  2. Step 2: Convert to fraction form
    6,424.80/9,591.18 = 5,968/x
  3. Step 3: Cross multiply
    6,424.80x = 9,591.18 × 5,968
  4. Step 4: Simplify right side
    6,424.80x = 57,240,162.24
  5. Step 5: Solve for x
    x = 57,240,162.24/6,424.80
  6. Step 6: Final answer
    x = 8,909.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.