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Finding the Fourth Proportional to 9,820.86, 13,552.70 and 5,344.54

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Solution

The fourth proportional to 9,820.86, 13,552.70 and 5,344.54 is: 7,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.86 : 13,552.70 = 5,344.54 : x
  2. Step 2: Convert to fraction form
    9,820.86/13,552.70 = 5,344.54/x
  3. Step 3: Cross multiply
    9,820.86x = 13,552.70 × 5,344.54
  4. Step 4: Simplify right side
    9,820.86x = 72,432,947.26
  5. Step 5: Solve for x
    x = 72,432,947.26/9,820.86
  6. Step 6: Final answer
    x = 7,375.42

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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.