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Finding the Fourth Proportional to 9,759.80, 13,467.66 and 5,780.92

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Solution

The fourth proportional to 9,759.80, 13,467.66 and 5,780.92 is: 7,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.80 : 13,467.66 = 5,780.92 : x
  2. Step 2: Convert to fraction form
    9,759.80/13,467.66 = 5,780.92/x
  3. Step 3: Cross multiply
    9,759.80x = 13,467.66 × 5,780.92
  4. Step 4: Simplify right side
    9,759.80x = 77,855,465.05
  5. Step 5: Solve for x
    x = 77,855,465.05/9,759.80
  6. Step 6: Final answer
    x = 7,977.16

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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.