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Finding the Fourth Proportional to 6,116.10, 9,174.22 and 1,956.10

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Solution

The fourth proportional to 6,116.10, 9,174.22 and 1,956.10 is: 2,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.10 : 9,174.22 = 1,956.10 : x
  2. Step 2: Convert to fraction form
    6,116.10/9,174.22 = 1,956.10/x
  3. Step 3: Cross multiply
    6,116.10x = 9,174.22 × 1,956.10
  4. Step 4: Simplify right side
    6,116.10x = 17,945,691.74
  5. Step 5: Solve for x
    x = 17,945,691.74/6,116.10
  6. Step 6: Final answer
    x = 2,934.17

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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.