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Finding the Fourth Proportional to 6,226.57, 9,339.87 and 5,126.53

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Solution

The fourth proportional to 6,226.57, 9,339.87 and 5,126.53 is: 7,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.57 : 9,339.87 = 5,126.53 : x
  2. Step 2: Convert to fraction form
    6,226.57/9,339.87 = 5,126.53/x
  3. Step 3: Cross multiply
    6,226.57x = 9,339.87 × 5,126.53
  4. Step 4: Simplify right side
    6,226.57x = 47,881,123.75
  5. Step 5: Solve for x
    x = 47,881,123.75/6,226.57
  6. Step 6: Final answer
    x = 7,689.81

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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.