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Finding the Fourth Proportional to 6,534.02, 9,017.72 and 3,881.44

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Solution

The fourth proportional to 6,534.02, 9,017.72 and 3,881.44 is: 5,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.02 : 9,017.72 = 3,881.44 : x
  2. Step 2: Convert to fraction form
    6,534.02/9,017.72 = 3,881.44/x
  3. Step 3: Cross multiply
    6,534.02x = 9,017.72 × 3,881.44
  4. Step 4: Simplify right side
    6,534.02x = 35,001,726.28
  5. Step 5: Solve for x
    x = 35,001,726.28/6,534.02
  6. Step 6: Final answer
    x = 5,356.84

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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.