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Finding the Fourth Proportional to 9,820.78, 13,552.74 and 5,344.56

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Solution

The fourth proportional to 9,820.78, 13,552.74 and 5,344.56 is: 7,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.78 : 13,552.74 = 5,344.56 : x
  2. Step 2: Convert to fraction form
    9,820.78/13,552.74 = 5,344.56/x
  3. Step 3: Cross multiply
    9,820.78x = 13,552.74 × 5,344.56
  4. Step 4: Simplify right side
    9,820.78x = 72,433,432.09
  5. Step 5: Solve for x
    x = 72,433,432.09/9,820.78
  6. Step 6: Final answer
    x = 7,375.53

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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.