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Finding the Fourth Proportional to 9,627.54, 13,286.08 and 5,648.72

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Solution

The fourth proportional to 9,627.54, 13,286.08 and 5,648.72 is: 7,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.54 : 13,286.08 = 5,648.72 : x
  2. Step 2: Convert to fraction form
    9,627.54/13,286.08 = 5,648.72/x
  3. Step 3: Cross multiply
    9,627.54x = 13,286.08 × 5,648.72
  4. Step 4: Simplify right side
    9,627.54x = 75,049,345.82
  5. Step 5: Solve for x
    x = 75,049,345.82/9,627.54
  6. Step 6: Final answer
    x = 7,795.28

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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.