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Finding the Fourth Proportional to 7,055.42, 9,736.28 and 3,868.55

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Solution

The fourth proportional to 7,055.42, 9,736.28 and 3,868.55 is: 5,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.42 : 9,736.28 = 3,868.55 : x
  2. Step 2: Convert to fraction form
    7,055.42/9,736.28 = 3,868.55/x
  3. Step 3: Cross multiply
    7,055.42x = 9,736.28 × 3,868.55
  4. Step 4: Simplify right side
    7,055.42x = 37,665,285.99
  5. Step 5: Solve for x
    x = 37,665,285.99/7,055.42
  6. Step 6: Final answer
    x = 5,338.49

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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.