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Finding the Fourth Proportional to 9,179.48, 12,665.86 and 5,402.82

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Solution

The fourth proportional to 9,179.48, 12,665.86 and 5,402.82 is: 7,454.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.48 : 12,665.86 = 5,402.82 : x
  2. Step 2: Convert to fraction form
    9,179.48/12,665.86 = 5,402.82/x
  3. Step 3: Cross multiply
    9,179.48x = 12,665.86 × 5,402.82
  4. Step 4: Simplify right side
    9,179.48x = 68,431,348.22
  5. Step 5: Solve for x
    x = 68,431,348.22/9,179.48
  6. Step 6: Final answer
    x = 7,454.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.