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Finding the Fourth Proportional to 8,948.14, 12,344.15 and 6,297.02

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Solution

The fourth proportional to 8,948.14, 12,344.15 and 6,297.02 is: 8,686.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.14 : 12,344.15 = 6,297.02 : x
  2. Step 2: Convert to fraction form
    8,948.14/12,344.15 = 6,297.02/x
  3. Step 3: Cross multiply
    8,948.14x = 12,344.15 × 6,297.02
  4. Step 4: Simplify right side
    8,948.14x = 77,731,359.43
  5. Step 5: Solve for x
    x = 77,731,359.43/8,948.14
  6. Step 6: Final answer
    x = 8,686.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.