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Finding the Fourth Proportional to 6,116.64, 9,176.46 and 1,956.66

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Solution

The fourth proportional to 6,116.64, 9,176.46 and 1,956.66 is: 2,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.64 : 9,176.46 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    6,116.64/9,176.46 = 1,956.66/x
  3. Step 3: Cross multiply
    6,116.64x = 9,176.46 × 1,956.66
  4. Step 4: Simplify right side
    6,116.64x = 17,955,212.22
  5. Step 5: Solve for x
    x = 17,955,212.22/6,116.64
  6. Step 6: Final answer
    x = 2,935.47

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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.