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Finding the Fourth Proportional to 6,321.42, 9,480.04 and 2,989.15

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Solution

The fourth proportional to 6,321.42, 9,480.04 and 2,989.15 is: 4,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.42 : 9,480.04 = 2,989.15 : x
  2. Step 2: Convert to fraction form
    6,321.42/9,480.04 = 2,989.15/x
  3. Step 3: Cross multiply
    6,321.42x = 9,480.04 × 2,989.15
  4. Step 4: Simplify right side
    6,321.42x = 28,337,261.57
  5. Step 5: Solve for x
    x = 28,337,261.57/6,321.42
  6. Step 6: Final answer
    x = 4,482.74

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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.