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Finding the Fourth Proportional to 6,459.34, 9,689.31 and 2,299.38

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Solution

The fourth proportional to 6,459.34, 9,689.31 and 2,299.38 is: 3,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.34 : 9,689.31 = 2,299.38 : x
  2. Step 2: Convert to fraction form
    6,459.34/9,689.31 = 2,299.38/x
  3. Step 3: Cross multiply
    6,459.34x = 9,689.31 × 2,299.38
  4. Step 4: Simplify right side
    6,459.34x = 22,279,405.63
  5. Step 5: Solve for x
    x = 22,279,405.63/6,459.34
  6. Step 6: Final answer
    x = 3,449.18

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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.