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Finding the Fourth Proportional to 7,048.31, 9,726.25 and 3,860.97

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Solution

The fourth proportional to 7,048.31, 9,726.25 and 3,860.97 is: 5,327.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.31 : 9,726.25 = 3,860.97 : x
  2. Step 2: Convert to fraction form
    7,048.31/9,726.25 = 3,860.97/x
  3. Step 3: Cross multiply
    7,048.31x = 9,726.25 × 3,860.97
  4. Step 4: Simplify right side
    7,048.31x = 37,552,772.47
  5. Step 5: Solve for x
    x = 37,552,772.47/7,048.31
  6. Step 6: Final answer
    x = 5,327.91

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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.