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Finding the Fourth Proportional to 7,026.39, 9,696.72 and 4,042.23

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Solution

The fourth proportional to 7,026.39, 9,696.72 and 4,042.23 is: 5,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.39 : 9,696.72 = 4,042.23 : x
  2. Step 2: Convert to fraction form
    7,026.39/9,696.72 = 4,042.23/x
  3. Step 3: Cross multiply
    7,026.39x = 9,696.72 × 4,042.23
  4. Step 4: Simplify right side
    7,026.39x = 39,196,372.49
  5. Step 5: Solve for x
    x = 39,196,372.49/7,026.39
  6. Step 6: Final answer
    x = 5,578.45

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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.