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Finding the Fourth Proportional to 6,326.90, 9,494.19 and 2,864.18

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Solution

The fourth proportional to 6,326.90, 9,494.19 and 2,864.18 is: 4,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.90 : 9,494.19 = 2,864.18 : x
  2. Step 2: Convert to fraction form
    6,326.90/9,494.19 = 2,864.18/x
  3. Step 3: Cross multiply
    6,326.90x = 9,494.19 × 2,864.18
  4. Step 4: Simplify right side
    6,326.90x = 27,193,069.11
  5. Step 5: Solve for x
    x = 27,193,069.11/6,326.90
  6. Step 6: Final answer
    x = 4,298.01

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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.