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Finding the Fourth Proportional to 6,205.90, 9,292.65 and 4,002.70

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Solution

The fourth proportional to 6,205.90, 9,292.65 and 4,002.70 is: 5,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.90 : 9,292.65 = 4,002.70 : x
  2. Step 2: Convert to fraction form
    6,205.90/9,292.65 = 4,002.70/x
  3. Step 3: Cross multiply
    6,205.90x = 9,292.65 × 4,002.70
  4. Step 4: Simplify right side
    6,205.90x = 37,195,690.16
  5. Step 5: Solve for x
    x = 37,195,690.16/6,205.90
  6. Step 6: Final answer
    x = 5,993.60

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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.