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Finding the Fourth Proportional to 6,181.16, 9,274.10 and 3,717.72

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Solution

The fourth proportional to 6,181.16, 9,274.10 and 3,717.72 is: 5,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.16 : 9,274.10 = 3,717.72 : x
  2. Step 2: Convert to fraction form
    6,181.16/9,274.10 = 3,717.72/x
  3. Step 3: Cross multiply
    6,181.16x = 9,274.10 × 3,717.72
  4. Step 4: Simplify right side
    6,181.16x = 34,478,488.46
  5. Step 5: Solve for x
    x = 34,478,488.46/6,181.16
  6. Step 6: Final answer
    x = 5,578.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.