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Finding the Fourth Proportional to 9,648.30, 13,299.24 and 7,876.86

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Solution

The fourth proportional to 9,648.30, 13,299.24 and 7,876.86 is: 10,857.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.30 : 13,299.24 = 7,876.86 : x
  2. Step 2: Convert to fraction form
    9,648.30/13,299.24 = 7,876.86/x
  3. Step 3: Cross multiply
    9,648.30x = 13,299.24 × 7,876.86
  4. Step 4: Simplify right side
    9,648.30x = 104,756,251.59
  5. Step 5: Solve for x
    x = 104,756,251.59/9,648.30
  6. Step 6: Final answer
    x = 10,857.48

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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.