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Finding the Fourth Proportional to 6,871.47, 9,484.05 and 3,887.43

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Solution

The fourth proportional to 6,871.47, 9,484.05 and 3,887.43 is: 5,365.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.47 : 9,484.05 = 3,887.43 : x
  2. Step 2: Convert to fraction form
    6,871.47/9,484.05 = 3,887.43/x
  3. Step 3: Cross multiply
    6,871.47x = 9,484.05 × 3,887.43
  4. Step 4: Simplify right side
    6,871.47x = 36,868,580.49
  5. Step 5: Solve for x
    x = 36,868,580.49/6,871.47
  6. Step 6: Final answer
    x = 5,365.46

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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.