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Finding the Fourth Proportional to 6,565.45, 9,067.65 and 5,091.19

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Solution

The fourth proportional to 6,565.45, 9,067.65 and 5,091.19 is: 7,031.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.45 : 9,067.65 = 5,091.19 : x
  2. Step 2: Convert to fraction form
    6,565.45/9,067.65 = 5,091.19/x
  3. Step 3: Cross multiply
    6,565.45x = 9,067.65 × 5,091.19
  4. Step 4: Simplify right side
    6,565.45x = 46,165,129.00
  5. Step 5: Solve for x
    x = 46,165,129.00/6,565.45
  6. Step 6: Final answer
    x = 7,031.53

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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.