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Finding the Fourth Proportional to 8,431.65, 12,637.62 and 6,344.97

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Solution

The fourth proportional to 8,431.65, 12,637.62 and 6,344.97 is: 9,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.65 : 12,637.62 = 6,344.97 : x
  2. Step 2: Convert to fraction form
    8,431.65/12,637.62 = 6,344.97/x
  3. Step 3: Cross multiply
    8,431.65x = 12,637.62 × 6,344.97
  4. Step 4: Simplify right side
    8,431.65x = 80,185,319.77
  5. Step 5: Solve for x
    x = 80,185,319.77/8,431.65
  6. Step 6: Final answer
    x = 9,510.04

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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.