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Finding the Fourth Proportional to 6,314.16, 9,473.64 and 5,589.96

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Solution

The fourth proportional to 6,314.16, 9,473.64 and 5,589.96 is: 8,387.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.16 : 9,473.64 = 5,589.96 : x
  2. Step 2: Convert to fraction form
    6,314.16/9,473.64 = 5,589.96/x
  3. Step 3: Cross multiply
    6,314.16x = 9,473.64 × 5,589.96
  4. Step 4: Simplify right side
    6,314.16x = 52,957,268.65
  5. Step 5: Solve for x
    x = 52,957,268.65/6,314.16
  6. Step 6: Final answer
    x = 8,387.06

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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.