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Finding the Fourth Proportional to 6,306.76, 9,454.64 and 2,606.68

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Solution

The fourth proportional to 6,306.76, 9,454.64 and 2,606.68 is: 3,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.76 : 9,454.64 = 2,606.68 : x
  2. Step 2: Convert to fraction form
    6,306.76/9,454.64 = 2,606.68/x
  3. Step 3: Cross multiply
    6,306.76x = 9,454.64 × 2,606.68
  4. Step 4: Simplify right side
    6,306.76x = 24,645,173.72
  5. Step 5: Solve for x
    x = 24,645,173.72/6,306.76
  6. Step 6: Final answer
    x = 3,907.74

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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.