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Finding the Fourth Proportional to 6,139.60, 9,209.29 and 1,522.60

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Solution

The fourth proportional to 6,139.60, 9,209.29 and 1,522.60 is: 2,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.60 : 9,209.29 = 1,522.60 : x
  2. Step 2: Convert to fraction form
    6,139.60/9,209.29 = 1,522.60/x
  3. Step 3: Cross multiply
    6,139.60x = 9,209.29 × 1,522.60
  4. Step 4: Simplify right side
    6,139.60x = 14,022,064.95
  5. Step 5: Solve for x
    x = 14,022,064.95/6,139.60
  6. Step 6: Final answer
    x = 2,283.87

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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.