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Finding the Fourth Proportional to 9,820.85, 13,552.49 and 5,344.50

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Solution

The fourth proportional to 9,820.85, 13,552.49 and 5,344.50 is: 7,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.85 : 13,552.49 = 5,344.50 : x
  2. Step 2: Convert to fraction form
    9,820.85/13,552.49 = 5,344.50/x
  3. Step 3: Cross multiply
    9,820.85x = 13,552.49 × 5,344.50
  4. Step 4: Simplify right side
    9,820.85x = 72,431,282.81
  5. Step 5: Solve for x
    x = 72,431,282.81/9,820.85
  6. Step 6: Final answer
    x = 7,375.26

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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.