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Finding the Fourth Proportional to 6,159.94, 9,243.96 and 2,264.38

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Solution

The fourth proportional to 6,159.94, 9,243.96 and 2,264.38 is: 3,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.94 : 9,243.96 = 2,264.38 : x
  2. Step 2: Convert to fraction form
    6,159.94/9,243.96 = 2,264.38/x
  3. Step 3: Cross multiply
    6,159.94x = 9,243.96 × 2,264.38
  4. Step 4: Simplify right side
    6,159.94x = 20,931,838.14
  5. Step 5: Solve for x
    x = 20,931,838.14/6,159.94
  6. Step 6: Final answer
    x = 3,398.06

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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.