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Finding the Fourth Proportional to 7,077.95, 9,767.55 and 3,891.44

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Solution

The fourth proportional to 7,077.95, 9,767.55 and 3,891.44 is: 5,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.95 : 9,767.55 = 3,891.44 : x
  2. Step 2: Convert to fraction form
    7,077.95/9,767.55 = 3,891.44/x
  3. Step 3: Cross multiply
    7,077.95x = 9,767.55 × 3,891.44
  4. Step 4: Simplify right side
    7,077.95x = 38,009,834.77
  5. Step 5: Solve for x
    x = 38,009,834.77/7,077.95
  6. Step 6: Final answer
    x = 5,370.18

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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.