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Finding the Fourth Proportional to 6,670.12, 9,204.10 and 3,874.92

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Solution

The fourth proportional to 6,670.12, 9,204.10 and 3,874.92 is: 5,347.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.12 : 9,204.10 = 3,874.92 : x
  2. Step 2: Convert to fraction form
    6,670.12/9,204.10 = 3,874.92/x
  3. Step 3: Cross multiply
    6,670.12x = 9,204.10 × 3,874.92
  4. Step 4: Simplify right side
    6,670.12x = 35,665,151.17
  5. Step 5: Solve for x
    x = 35,665,151.17/6,670.12
  6. Step 6: Final answer
    x = 5,347.00

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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.