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Finding the Fourth Proportional to 9,781.84, 14,672.58 and 4,591.36

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Solution

The fourth proportional to 9,781.84, 14,672.58 and 4,591.36 is: 6,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.84 : 14,672.58 = 4,591.36 : x
  2. Step 2: Convert to fraction form
    9,781.84/14,672.58 = 4,591.36/x
  3. Step 3: Cross multiply
    9,781.84x = 14,672.58 × 4,591.36
  4. Step 4: Simplify right side
    9,781.84x = 67,367,096.91
  5. Step 5: Solve for x
    x = 67,367,096.91/9,781.84
  6. Step 6: Final answer
    x = 6,886.96

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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.