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Finding the Fourth Proportional to 6,257.61, 9,386.40 and 3,793.13

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Solution

The fourth proportional to 6,257.61, 9,386.40 and 3,793.13 is: 5,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.61 : 9,386.40 = 3,793.13 : x
  2. Step 2: Convert to fraction form
    6,257.61/9,386.40 = 3,793.13/x
  3. Step 3: Cross multiply
    6,257.61x = 9,386.40 × 3,793.13
  4. Step 4: Simplify right side
    6,257.61x = 35,603,835.43
  5. Step 5: Solve for x
    x = 35,603,835.43/6,257.61
  6. Step 6: Final answer
    x = 5,689.69

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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.