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Finding the Fourth Proportional to 10,249.38, 15,378.93 and 6,097.59

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Solution

The fourth proportional to 10,249.38, 15,378.93 and 6,097.59 is: 9,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.38 : 15,378.93 = 6,097.59 : x
  2. Step 2: Convert to fraction form
    10,249.38/15,378.93 = 6,097.59/x
  3. Step 3: Cross multiply
    10,249.38x = 15,378.93 × 6,097.59
  4. Step 4: Simplify right side
    10,249.38x = 93,774,409.78
  5. Step 5: Solve for x
    x = 93,774,409.78/10,249.38
  6. Step 6: Final answer
    x = 9,149.28

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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.