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Finding the Fourth Proportional to 9,820.33, 13,552.10 and 5,344.08

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Solution

The fourth proportional to 9,820.33, 13,552.10 and 5,344.08 is: 7,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.33 : 13,552.10 = 5,344.08 : x
  2. Step 2: Convert to fraction form
    9,820.33/13,552.10 = 5,344.08/x
  3. Step 3: Cross multiply
    9,820.33x = 13,552.10 × 5,344.08
  4. Step 4: Simplify right side
    9,820.33x = 72,423,412.09
  5. Step 5: Solve for x
    x = 72,423,412.09/9,820.33
  6. Step 6: Final answer
    x = 7,374.85

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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.