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Finding the Fourth Proportional to 6,116.74, 9,175.02 and 1,956.70

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Solution

The fourth proportional to 6,116.74, 9,175.02 and 1,956.70 is: 2,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.74 : 9,175.02 = 1,956.70 : x
  2. Step 2: Convert to fraction form
    6,116.74/9,175.02 = 1,956.70/x
  3. Step 3: Cross multiply
    6,116.74x = 9,175.02 × 1,956.70
  4. Step 4: Simplify right side
    6,116.74x = 17,952,761.63
  5. Step 5: Solve for x
    x = 17,952,761.63/6,116.74
  6. Step 6: Final answer
    x = 2,935.02

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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.