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Finding the Fourth Proportional to 9,181.71, 12,670.49 and 5,204.11

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Solution

The fourth proportional to 9,181.71, 12,670.49 and 5,204.11 is: 7,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.71 : 12,670.49 = 5,204.11 : x
  2. Step 2: Convert to fraction form
    9,181.71/12,670.49 = 5,204.11/x
  3. Step 3: Cross multiply
    9,181.71x = 12,670.49 × 5,204.11
  4. Step 4: Simplify right side
    9,181.71x = 65,938,560.36
  5. Step 5: Solve for x
    x = 65,938,560.36/9,181.71
  6. Step 6: Final answer
    x = 7,181.51

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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.