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Finding the Fourth Proportional to 6,302.61, 9,444.20 and 3,989.25

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Solution

The fourth proportional to 6,302.61, 9,444.20 and 3,989.25 is: 5,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.61 : 9,444.20 = 3,989.25 : x
  2. Step 2: Convert to fraction form
    6,302.61/9,444.20 = 3,989.25/x
  3. Step 3: Cross multiply
    6,302.61x = 9,444.20 × 3,989.25
  4. Step 4: Simplify right side
    6,302.61x = 37,675,254.90
  5. Step 5: Solve for x
    x = 37,675,254.90/6,302.61
  6. Step 6: Final answer
    x = 5,977.72

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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.