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Finding the Fourth Proportional to 8,292.41, 12,438.18 and 3,097.88

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Solution

The fourth proportional to 8,292.41, 12,438.18 and 3,097.88 is: 4,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.41 : 12,438.18 = 3,097.88 : x
  2. Step 2: Convert to fraction form
    8,292.41/12,438.18 = 3,097.88/x
  3. Step 3: Cross multiply
    8,292.41x = 12,438.18 × 3,097.88
  4. Step 4: Simplify right side
    8,292.41x = 38,531,926.87
  5. Step 5: Solve for x
    x = 38,531,926.87/8,292.41
  6. Step 6: Final answer
    x = 4,646.65

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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.