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Finding the Fourth Proportional to 10,353.15, 14,290.56 and 9,824.09

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Solution

The fourth proportional to 10,353.15, 14,290.56 and 9,824.09 is: 13,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.15 : 14,290.56 = 9,824.09 : x
  2. Step 2: Convert to fraction form
    10,353.15/14,290.56 = 9,824.09/x
  3. Step 3: Cross multiply
    10,353.15x = 14,290.56 × 9,824.09
  4. Step 4: Simplify right side
    10,353.15x = 140,391,676.14
  5. Step 5: Solve for x
    x = 140,391,676.14/10,353.15
  6. Step 6: Final answer
    x = 13,560.29

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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.