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Finding the Fourth Proportional to 6,191.83, 9,238.98 and 5,815.14

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Solution

The fourth proportional to 6,191.83, 9,238.98 and 5,815.14 is: 8,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.83 : 9,238.98 = 5,815.14 : x
  2. Step 2: Convert to fraction form
    6,191.83/9,238.98 = 5,815.14/x
  3. Step 3: Cross multiply
    6,191.83x = 9,238.98 × 5,815.14
  4. Step 4: Simplify right side
    6,191.83x = 53,725,962.16
  5. Step 5: Solve for x
    x = 53,725,962.16/6,191.83
  6. Step 6: Final answer
    x = 8,676.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.