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Finding the Fourth Proportional to 6,185.28, 9,267.12 and 5,151.90

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Solution

The fourth proportional to 6,185.28, 9,267.12 and 5,151.90 is: 7,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.28 : 9,267.12 = 5,151.90 : x
  2. Step 2: Convert to fraction form
    6,185.28/9,267.12 = 5,151.90/x
  3. Step 3: Cross multiply
    6,185.28x = 9,267.12 × 5,151.90
  4. Step 4: Simplify right side
    6,185.28x = 47,743,275.53
  5. Step 5: Solve for x
    x = 47,743,275.53/6,185.28
  6. Step 6: Final answer
    x = 7,718.85

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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.