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Finding the Fourth Proportional to 7,077.49, 9,764.08 and 4,278.13

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Solution

The fourth proportional to 7,077.49, 9,764.08 and 4,278.13 is: 5,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.49 : 9,764.08 = 4,278.13 : x
  2. Step 2: Convert to fraction form
    7,077.49/9,764.08 = 4,278.13/x
  3. Step 3: Cross multiply
    7,077.49x = 9,764.08 × 4,278.13
  4. Step 4: Simplify right side
    7,077.49x = 41,772,003.57
  5. Step 5: Solve for x
    x = 41,772,003.57/7,077.49
  6. Step 6: Final answer
    x = 5,902.09

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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.