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Finding the Fourth Proportional to 7,055.82, 9,736.29 and 4,071.42

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Solution

The fourth proportional to 7,055.82, 9,736.29 and 4,071.42 is: 5,618.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.82 : 9,736.29 = 4,071.42 : x
  2. Step 2: Convert to fraction form
    7,055.82/9,736.29 = 4,071.42/x
  3. Step 3: Cross multiply
    7,055.82x = 9,736.29 × 4,071.42
  4. Step 4: Simplify right side
    7,055.82x = 39,640,525.83
  5. Step 5: Solve for x
    x = 39,640,525.83/7,055.82
  6. Step 6: Final answer
    x = 5,618.13

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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.