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Finding the Fourth Proportional to 9,506.71, 13,120.36 and 5,731.81

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Solution

The fourth proportional to 9,506.71, 13,120.36 and 5,731.81 is: 7,910.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.71 : 13,120.36 = 5,731.81 : x
  2. Step 2: Convert to fraction form
    9,506.71/13,120.36 = 5,731.81/x
  3. Step 3: Cross multiply
    9,506.71x = 13,120.36 × 5,731.81
  4. Step 4: Simplify right side
    9,506.71x = 75,203,345.05
  5. Step 5: Solve for x
    x = 75,203,345.05/9,506.71
  6. Step 6: Final answer
    x = 7,910.55

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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.