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Finding the Fourth Proportional to 6,443.80, 9,670.40 and 2,937.76

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Solution

The fourth proportional to 6,443.80, 9,670.40 and 2,937.76 is: 4,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.80 : 9,670.40 = 2,937.76 : x
  2. Step 2: Convert to fraction form
    6,443.80/9,670.40 = 2,937.76/x
  3. Step 3: Cross multiply
    6,443.80x = 9,670.40 × 2,937.76
  4. Step 4: Simplify right side
    6,443.80x = 28,409,314.30
  5. Step 5: Solve for x
    x = 28,409,314.30/6,443.80
  6. Step 6: Final answer
    x = 4,408.78

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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.