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Finding the Fourth Proportional to 7,091.91, 9,787.68 and 4,068.12

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Solution

The fourth proportional to 7,091.91, 9,787.68 and 4,068.12 is: 5,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.91 : 9,787.68 = 4,068.12 : x
  2. Step 2: Convert to fraction form
    7,091.91/9,787.68 = 4,068.12/x
  3. Step 3: Cross multiply
    7,091.91x = 9,787.68 × 4,068.12
  4. Step 4: Simplify right side
    7,091.91x = 39,817,456.76
  5. Step 5: Solve for x
    x = 39,817,456.76/7,091.91
  6. Step 6: Final answer
    x = 5,614.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.