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Finding the Fourth Proportional to 7,058.22, 9,740.47 and 3,871.82

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Solution

The fourth proportional to 7,058.22, 9,740.47 and 3,871.82 is: 5,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,058.22 : 9,740.47 = 3,871.82 : x
  2. Step 2: Convert to fraction form
    7,058.22/9,740.47 = 3,871.82/x
  3. Step 3: Cross multiply
    7,058.22x = 9,740.47 × 3,871.82
  4. Step 4: Simplify right side
    7,058.22x = 37,713,313.70
  5. Step 5: Solve for x
    x = 37,713,313.70/7,058.22
  6. Step 6: Final answer
    x = 5,343.17

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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.