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Finding the Fourth Proportional to 9,794.88, 14,686.92 and 5,103.18

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Solution

The fourth proportional to 9,794.88, 14,686.92 and 5,103.18 is: 7,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 14,686.92 = 5,103.18 : x
  2. Step 2: Convert to fraction form
    9,794.88/14,686.92 = 5,103.18/x
  3. Step 3: Cross multiply
    9,794.88x = 14,686.92 × 5,103.18
  4. Step 4: Simplify right side
    9,794.88x = 74,949,996.41
  5. Step 5: Solve for x
    x = 74,949,996.41/9,794.88
  6. Step 6: Final answer
    x = 7,651.96

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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.