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Finding the Fourth Proportional to 9,195.11, 13,801.31 and 6,565.23

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Solution

The fourth proportional to 9,195.11, 13,801.31 and 6,565.23 is: 9,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.11 : 13,801.31 = 6,565.23 : x
  2. Step 2: Convert to fraction form
    9,195.11/13,801.31 = 6,565.23/x
  3. Step 3: Cross multiply
    9,195.11x = 13,801.31 × 6,565.23
  4. Step 4: Simplify right side
    9,195.11x = 90,608,741.63
  5. Step 5: Solve for x
    x = 90,608,741.63/9,195.11
  6. Step 6: Final answer
    x = 9,854.02

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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.