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Finding the Fourth Proportional to 6,147.36, 9,220.74 and 1,987.56

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Solution

The fourth proportional to 6,147.36, 9,220.74 and 1,987.56 is: 2,981.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.36 : 9,220.74 = 1,987.56 : x
  2. Step 2: Convert to fraction form
    6,147.36/9,220.74 = 1,987.56/x
  3. Step 3: Cross multiply
    6,147.36x = 9,220.74 × 1,987.56
  4. Step 4: Simplify right side
    6,147.36x = 18,326,773.99
  5. Step 5: Solve for x
    x = 18,326,773.99/6,147.36
  6. Step 6: Final answer
    x = 2,981.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.