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Finding the Fourth Proportional to 9,377.12, 14,065.68 and 6,446.56

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Solution

The fourth proportional to 9,377.12, 14,065.68 and 6,446.56 is: 9,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.12 : 14,065.68 = 6,446.56 : x
  2. Step 2: Convert to fraction form
    9,377.12/14,065.68 = 6,446.56/x
  3. Step 3: Cross multiply
    9,377.12x = 14,065.68 × 6,446.56
  4. Step 4: Simplify right side
    9,377.12x = 90,675,250.06
  5. Step 5: Solve for x
    x = 90,675,250.06/9,377.12
  6. Step 6: Final answer
    x = 9,669.84

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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.