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Finding the Fourth Proportional to 6,159.60, 9,233.87 and 2,263.10

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Solution

The fourth proportional to 6,159.60, 9,233.87 and 2,263.10 is: 3,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.60 : 9,233.87 = 2,263.10 : x
  2. Step 2: Convert to fraction form
    6,159.60/9,233.87 = 2,263.10/x
  3. Step 3: Cross multiply
    6,159.60x = 9,233.87 × 2,263.10
  4. Step 4: Simplify right side
    6,159.60x = 20,897,113.71
  5. Step 5: Solve for x
    x = 20,897,113.71/6,159.60
  6. Step 6: Final answer
    x = 3,392.61

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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.