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Finding the Fourth Proportional to 6,159.98, 9,251.10 and 5,690.95

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Solution

The fourth proportional to 6,159.98, 9,251.10 and 5,690.95 is: 8,546.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.98 : 9,251.10 = 5,690.95 : x
  2. Step 2: Convert to fraction form
    6,159.98/9,251.10 = 5,690.95/x
  3. Step 3: Cross multiply
    6,159.98x = 9,251.10 × 5,690.95
  4. Step 4: Simplify right side
    6,159.98x = 52,647,501.29
  5. Step 5: Solve for x
    x = 52,647,501.29/6,159.98
  6. Step 6: Final answer
    x = 8,546.70

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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.