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Finding the Fourth Proportional to 6,753.95, 9,323.29 and 4,102.21

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Solution

The fourth proportional to 6,753.95, 9,323.29 and 4,102.21 is: 5,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.95 : 9,323.29 = 4,102.21 : x
  2. Step 2: Convert to fraction form
    6,753.95/9,323.29 = 4,102.21/x
  3. Step 3: Cross multiply
    6,753.95x = 9,323.29 × 4,102.21
  4. Step 4: Simplify right side
    6,753.95x = 38,246,026.34
  5. Step 5: Solve for x
    x = 38,246,026.34/6,753.95
  6. Step 6: Final answer
    x = 5,662.77

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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.