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Finding the Fourth Proportional to 9,820.34, 13,552.10 and 5,344.09

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Solution

The fourth proportional to 9,820.34, 13,552.10 and 5,344.09 is: 7,374.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.34 : 13,552.10 = 5,344.09 : x
  2. Step 2: Convert to fraction form
    9,820.34/13,552.10 = 5,344.09/x
  3. Step 3: Cross multiply
    9,820.34x = 13,552.10 × 5,344.09
  4. Step 4: Simplify right side
    9,820.34x = 72,423,642.09
  5. Step 5: Solve for x
    x = 72,423,642.09/9,820.34
  6. Step 6: Final answer
    x = 7,374.86

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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.