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Finding the Fourth Proportional to 9,410.54, 12,987.02 and 5,218.80

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Solution

The fourth proportional to 9,410.54, 12,987.02 and 5,218.80 is: 7,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.54 : 12,987.02 = 5,218.80 : x
  2. Step 2: Convert to fraction form
    9,410.54/12,987.02 = 5,218.80/x
  3. Step 3: Cross multiply
    9,410.54x = 12,987.02 × 5,218.80
  4. Step 4: Simplify right side
    9,410.54x = 67,776,659.98
  5. Step 5: Solve for x
    x = 67,776,659.98/9,410.54
  6. Step 6: Final answer
    x = 7,202.21

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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.