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Finding the Fourth Proportional to 9,508.30, 13,103.31 and 8,264.14

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Solution

The fourth proportional to 9,508.30, 13,103.31 and 8,264.14 is: 11,388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.30 : 13,103.31 = 8,264.14 : x
  2. Step 2: Convert to fraction form
    9,508.30/13,103.31 = 8,264.14/x
  3. Step 3: Cross multiply
    9,508.30x = 13,103.31 × 8,264.14
  4. Step 4: Simplify right side
    9,508.30x = 108,287,588.30
  5. Step 5: Solve for x
    x = 108,287,588.30/9,508.30
  6. Step 6: Final answer
    x = 11,388.74

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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.