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Finding the Fourth Proportional to 6,159.29, 9,239.84 and 2,263.38

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Solution

The fourth proportional to 6,159.29, 9,239.84 and 2,263.38 is: 3,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.29 : 9,239.84 = 2,263.38 : x
  2. Step 2: Convert to fraction form
    6,159.29/9,239.84 = 2,263.38/x
  3. Step 3: Cross multiply
    6,159.29x = 9,239.84 × 2,263.38
  4. Step 4: Simplify right side
    6,159.29x = 20,913,257.74
  5. Step 5: Solve for x
    x = 20,913,257.74/6,159.29
  6. Step 6: Final answer
    x = 3,395.40

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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.