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Finding the Fourth Proportional to 9,465.75, 13,062.83 and 5,274.09

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Solution

The fourth proportional to 9,465.75, 13,062.83 and 5,274.09 is: 7,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.75 : 13,062.83 = 5,274.09 : x
  2. Step 2: Convert to fraction form
    9,465.75/13,062.83 = 5,274.09/x
  3. Step 3: Cross multiply
    9,465.75x = 13,062.83 × 5,274.09
  4. Step 4: Simplify right side
    9,465.75x = 68,894,514.70
  5. Step 5: Solve for x
    x = 68,894,514.70/9,465.75
  6. Step 6: Final answer
    x = 7,278.29

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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.