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Finding the Fourth Proportional to 9,451.40, 14,181.71 and 6,695.78

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Solution

The fourth proportional to 9,451.40, 14,181.71 and 6,695.78 is: 10,046.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.40 : 14,181.71 = 6,695.78 : x
  2. Step 2: Convert to fraction form
    9,451.40/14,181.71 = 6,695.78/x
  3. Step 3: Cross multiply
    9,451.40x = 14,181.71 × 6,695.78
  4. Step 4: Simplify right side
    9,451.40x = 94,957,505.80
  5. Step 5: Solve for x
    x = 94,957,505.80/9,451.40
  6. Step 6: Final answer
    x = 10,046.93

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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.