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Finding the Fourth Proportional to 7,015.82, 9,681.81 and 3,872

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Solution

The fourth proportional to 7,015.82, 9,681.81 and 3,872 is: 5,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,015.82 : 9,681.81 = 3,872 : x
  2. Step 2: Convert to fraction form
    7,015.82/9,681.81 = 3,872/x
  3. Step 3: Cross multiply
    7,015.82x = 9,681.81 × 3,872
  4. Step 4: Simplify right side
    7,015.82x = 37,487,968.32
  5. Step 5: Solve for x
    x = 37,487,968.32/7,015.82
  6. Step 6: Final answer
    x = 5,343.35

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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.