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Finding the Fourth Proportional to 6,565.23, 9,843.49 and 3,441.47

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Solution

The fourth proportional to 6,565.23, 9,843.49 and 3,441.47 is: 5,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.23 : 9,843.49 = 3,441.47 : x
  2. Step 2: Convert to fraction form
    6,565.23/9,843.49 = 3,441.47/x
  3. Step 3: Cross multiply
    6,565.23x = 9,843.49 × 3,441.47
  4. Step 4: Simplify right side
    6,565.23x = 33,876,075.53
  5. Step 5: Solve for x
    x = 33,876,075.53/6,565.23
  6. Step 6: Final answer
    x = 5,159.92

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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.