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Finding the Fourth Proportional to 9,641.34, 14,464.20 and 3,067.92

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Solution

The fourth proportional to 9,641.34, 14,464.20 and 3,067.92 is: 4,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.34 : 14,464.20 = 3,067.92 : x
  2. Step 2: Convert to fraction form
    9,641.34/14,464.20 = 3,067.92/x
  3. Step 3: Cross multiply
    9,641.34x = 14,464.20 × 3,067.92
  4. Step 4: Simplify right side
    9,641.34x = 44,375,008.46
  5. Step 5: Solve for x
    x = 44,375,008.46/9,641.34
  6. Step 6: Final answer
    x = 4,602.58

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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.