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Finding the Fourth Proportional to 7,055.59, 9,736.82 and 3,869.17

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Solution

The fourth proportional to 7,055.59, 9,736.82 and 3,869.17 is: 5,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.59 : 9,736.82 = 3,869.17 : x
  2. Step 2: Convert to fraction form
    7,055.59/9,736.82 = 3,869.17/x
  3. Step 3: Cross multiply
    7,055.59x = 9,736.82 × 3,869.17
  4. Step 4: Simplify right side
    7,055.59x = 37,673,449.72
  5. Step 5: Solve for x
    x = 37,673,449.72/7,055.59
  6. Step 6: Final answer
    x = 5,339.52

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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.