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Finding the Fourth Proportional to 9,466, 13,063.12 and 5,274.56

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Solution

The fourth proportional to 9,466, 13,063.12 and 5,274.56 is: 7,278.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466 : 13,063.12 = 5,274.56 : x
  2. Step 2: Convert to fraction form
    9,466/13,063.12 = 5,274.56/x
  3. Step 3: Cross multiply
    9,466x = 13,063.12 × 5,274.56
  4. Step 4: Simplify right side
    9,466x = 68,902,210.23
  5. Step 5: Solve for x
    x = 68,902,210.23/9,466
  6. Step 6: Final answer
    x = 7,278.92

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Why These Related Problems?

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