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Finding the Fourth Proportional to 10,269.93, 15,412.19 and 9,278.49

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Solution

The fourth proportional to 10,269.93, 15,412.19 and 9,278.49 is: 13,924.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.93 : 15,412.19 = 9,278.49 : x
  2. Step 2: Convert to fraction form
    10,269.93/15,412.19 = 9,278.49/x
  3. Step 3: Cross multiply
    10,269.93x = 15,412.19 × 9,278.49
  4. Step 4: Simplify right side
    10,269.93x = 143,001,850.79
  5. Step 5: Solve for x
    x = 143,001,850.79/10,269.93
  6. Step 6: Final answer
    x = 13,924.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.