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Finding the Fourth Proportional to 6,294.14, 9,433.13 and 2,598.96

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Solution

The fourth proportional to 6,294.14, 9,433.13 and 2,598.96 is: 3,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.14 : 9,433.13 = 2,598.96 : x
  2. Step 2: Convert to fraction form
    6,294.14/9,433.13 = 2,598.96/x
  3. Step 3: Cross multiply
    6,294.14x = 9,433.13 × 2,598.96
  4. Step 4: Simplify right side
    6,294.14x = 24,516,327.54
  5. Step 5: Solve for x
    x = 24,516,327.54/6,294.14
  6. Step 6: Final answer
    x = 3,895.10

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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.