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Finding the Fourth Proportional to 6,681.84, 9,221.12 and 4,439.84

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Solution

The fourth proportional to 6,681.84, 9,221.12 and 4,439.84 is: 6,127.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.84 : 9,221.12 = 4,439.84 : x
  2. Step 2: Convert to fraction form
    6,681.84/9,221.12 = 4,439.84/x
  3. Step 3: Cross multiply
    6,681.84x = 9,221.12 × 4,439.84
  4. Step 4: Simplify right side
    6,681.84x = 40,940,297.42
  5. Step 5: Solve for x
    x = 40,940,297.42/6,681.84
  6. Step 6: Final answer
    x = 6,127.10

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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.