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Finding the Fourth Proportional to 6,340.14, 9,482.27 and 5,758.83

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Solution

The fourth proportional to 6,340.14, 9,482.27 and 5,758.83 is: 8,612.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.14 : 9,482.27 = 5,758.83 : x
  2. Step 2: Convert to fraction form
    6,340.14/9,482.27 = 5,758.83/x
  3. Step 3: Cross multiply
    6,340.14x = 9,482.27 × 5,758.83
  4. Step 4: Simplify right side
    6,340.14x = 54,606,752.15
  5. Step 5: Solve for x
    x = 54,606,752.15/6,340.14
  6. Step 6: Final answer
    x = 8,612.86

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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.