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Finding the Fourth Proportional to 6,159.87, 9,244.71 and 3,199.17

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Solution

The fourth proportional to 6,159.87, 9,244.71 and 3,199.17 is: 4,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.87 : 9,244.71 = 3,199.17 : x
  2. Step 2: Convert to fraction form
    6,159.87/9,244.71 = 3,199.17/x
  3. Step 3: Cross multiply
    6,159.87x = 9,244.71 × 3,199.17
  4. Step 4: Simplify right side
    6,159.87x = 29,575,398.89
  5. Step 5: Solve for x
    x = 29,575,398.89/6,159.87
  6. Step 6: Final answer
    x = 4,801.30

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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.