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Finding the Fourth Proportional to 9,246.96, 12,760.74 and 5,055.22

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Solution

The fourth proportional to 9,246.96, 12,760.74 and 5,055.22 is: 6,976.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.96 : 12,760.74 = 5,055.22 : x
  2. Step 2: Convert to fraction form
    9,246.96/12,760.74 = 5,055.22/x
  3. Step 3: Cross multiply
    9,246.96x = 12,760.74 × 5,055.22
  4. Step 4: Simplify right side
    9,246.96x = 64,508,348.06
  5. Step 5: Solve for x
    x = 64,508,348.06/9,246.96
  6. Step 6: Final answer
    x = 6,976.17

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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.