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Finding the Fourth Proportional to 6,294.15, 9,444.87 and 2,595.69

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Solution

The fourth proportional to 6,294.15, 9,444.87 and 2,595.69 is: 3,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.15 : 9,444.87 = 2,595.69 : x
  2. Step 2: Convert to fraction form
    6,294.15/9,444.87 = 2,595.69/x
  3. Step 3: Cross multiply
    6,294.15x = 9,444.87 × 2,595.69
  4. Step 4: Simplify right side
    6,294.15x = 24,515,954.61
  5. Step 5: Solve for x
    x = 24,515,954.61/6,294.15
  6. Step 6: Final answer
    x = 3,895.04

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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.