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Finding the Fourth Proportional to 9,410.04, 12,986.62 and 5,218.20

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Solution

The fourth proportional to 9,410.04, 12,986.62 and 5,218.20 is: 7,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.04 : 12,986.62 = 5,218.20 : x
  2. Step 2: Convert to fraction form
    9,410.04/12,986.62 = 5,218.20/x
  3. Step 3: Cross multiply
    9,410.04x = 12,986.62 × 5,218.20
  4. Step 4: Simplify right side
    9,410.04x = 67,766,780.48
  5. Step 5: Solve for x
    x = 67,766,780.48/9,410.04
  6. Step 6: Final answer
    x = 7,201.54

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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.