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Finding the Fourth Proportional to 9,627.46, 13,278.54 and 6,648.28

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Solution

The fourth proportional to 9,627.46, 13,278.54 and 6,648.28 is: 9,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.46 : 13,278.54 = 6,648.28 : x
  2. Step 2: Convert to fraction form
    9,627.46/13,278.54 = 6,648.28/x
  3. Step 3: Cross multiply
    9,627.46x = 13,278.54 × 6,648.28
  4. Step 4: Simplify right side
    9,627.46x = 88,279,451.91
  5. Step 5: Solve for x
    x = 88,279,451.91/9,627.46
  6. Step 6: Final answer
    x = 9,169.55

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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.