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Finding the Fourth Proportional to 6,306.66, 9,458.28 and 2,408.94

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Solution

The fourth proportional to 6,306.66, 9,458.28 and 2,408.94 is: 3,612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.66 : 9,458.28 = 2,408.94 : x
  2. Step 2: Convert to fraction form
    6,306.66/9,458.28 = 2,408.94/x
  3. Step 3: Cross multiply
    6,306.66x = 9,458.28 × 2,408.94
  4. Step 4: Simplify right side
    6,306.66x = 22,784,429.02
  5. Step 5: Solve for x
    x = 22,784,429.02/6,306.66
  6. Step 6: Final answer
    x = 3,612.76

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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.