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Finding the Fourth Proportional to 6,214.46, 9,321.68 and 4,260.74

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Solution

The fourth proportional to 6,214.46, 9,321.68 and 4,260.74 is: 6,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.46 : 9,321.68 = 4,260.74 : x
  2. Step 2: Convert to fraction form
    6,214.46/9,321.68 = 4,260.74/x
  3. Step 3: Cross multiply
    6,214.46x = 9,321.68 × 4,260.74
  4. Step 4: Simplify right side
    6,214.46x = 39,717,218.89
  5. Step 5: Solve for x
    x = 39,717,218.89/6,214.46
  6. Step 6: Final answer
    x = 6,391.10

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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.