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Finding the Fourth Proportional to 7,077.73, 9,767.01 and 4,559.94

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Solution

The fourth proportional to 7,077.73, 9,767.01 and 4,559.94 is: 6,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.73 : 9,767.01 = 4,559.94 : x
  2. Step 2: Convert to fraction form
    7,077.73/9,767.01 = 4,559.94/x
  3. Step 3: Cross multiply
    7,077.73x = 9,767.01 × 4,559.94
  4. Step 4: Simplify right side
    7,077.73x = 44,536,979.58
  5. Step 5: Solve for x
    x = 44,536,979.58/7,077.73
  6. Step 6: Final answer
    x = 6,292.56

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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.