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Finding the Fourth Proportional to 6,263.64, 9,377.19 and 5,428.17

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Solution

The fourth proportional to 6,263.64, 9,377.19 and 5,428.17 is: 8,126.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.64 : 9,377.19 = 5,428.17 : x
  2. Step 2: Convert to fraction form
    6,263.64/9,377.19 = 5,428.17/x
  3. Step 3: Cross multiply
    6,263.64x = 9,377.19 × 5,428.17
  4. Step 4: Simplify right side
    6,263.64x = 50,900,981.44
  5. Step 5: Solve for x
    x = 50,900,981.44/6,263.64
  6. Step 6: Final answer
    x = 8,126.42

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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.