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Finding the Fourth Proportional to 6,344.32, 9,511.01 and 3,052.89

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Solution

The fourth proportional to 6,344.32, 9,511.01 and 3,052.89 is: 4,576.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.32 : 9,511.01 = 3,052.89 : x
  2. Step 2: Convert to fraction form
    6,344.32/9,511.01 = 3,052.89/x
  3. Step 3: Cross multiply
    6,344.32x = 9,511.01 × 3,052.89
  4. Step 4: Simplify right side
    6,344.32x = 29,036,019.76
  5. Step 5: Solve for x
    x = 29,036,019.76/6,344.32
  6. Step 6: Final answer
    x = 4,576.70

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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.