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Finding the Fourth Proportional to 6,985.08, 9,640.80 and 4,002.90

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Solution

The fourth proportional to 6,985.08, 9,640.80 and 4,002.90 is: 5,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.08 : 9,640.80 = 4,002.90 : x
  2. Step 2: Convert to fraction form
    6,985.08/9,640.80 = 4,002.90/x
  3. Step 3: Cross multiply
    6,985.08x = 9,640.80 × 4,002.90
  4. Step 4: Simplify right side
    6,985.08x = 38,591,158.32
  5. Step 5: Solve for x
    x = 38,591,158.32/6,985.08
  6. Step 6: Final answer
    x = 5,524.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.