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Finding the Fourth Proportional to 9,410.94, 12,987.68 and 5,219.19

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Solution

The fourth proportional to 9,410.94, 12,987.68 and 5,219.19 is: 7,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.94 : 12,987.68 = 5,219.19 : x
  2. Step 2: Convert to fraction form
    9,410.94/12,987.68 = 5,219.19/x
  3. Step 3: Cross multiply
    9,410.94x = 12,987.68 × 5,219.19
  4. Step 4: Simplify right side
    9,410.94x = 67,785,169.58
  5. Step 5: Solve for x
    x = 67,785,169.58/9,410.94
  6. Step 6: Final answer
    x = 7,202.81

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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.