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Finding the Fourth Proportional to 9,378.30, 14,067.45 and 8,456.70

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Solution

The fourth proportional to 9,378.30, 14,067.45 and 8,456.70 is: 12,685.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.30 : 14,067.45 = 8,456.70 : x
  2. Step 2: Convert to fraction form
    9,378.30/14,067.45 = 8,456.70/x
  3. Step 3: Cross multiply
    9,378.30x = 14,067.45 × 8,456.70
  4. Step 4: Simplify right side
    9,378.30x = 118,964,204.42
  5. Step 5: Solve for x
    x = 118,964,204.42/9,378.30
  6. Step 6: Final answer
    x = 12,685.05

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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.