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Finding the Fourth Proportional to 9,781.40, 14,672.12 and 2,385.88

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Solution

The fourth proportional to 9,781.40, 14,672.12 and 2,385.88 is: 3,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.40 : 14,672.12 = 2,385.88 : x
  2. Step 2: Convert to fraction form
    9,781.40/14,672.12 = 2,385.88/x
  3. Step 3: Cross multiply
    9,781.40x = 14,672.12 × 2,385.88
  4. Step 4: Simplify right side
    9,781.40x = 35,005,917.67
  5. Step 5: Solve for x
    x = 35,005,917.67/9,781.40
  6. Step 6: Final answer
    x = 3,578.82

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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.