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Finding the Fourth Proportional to 9,147.83, 13,722.48 and 2,574.54

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Solution

The fourth proportional to 9,147.83, 13,722.48 and 2,574.54 is: 3,862.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.83 : 13,722.48 = 2,574.54 : x
  2. Step 2: Convert to fraction form
    9,147.83/13,722.48 = 2,574.54/x
  3. Step 3: Cross multiply
    9,147.83x = 13,722.48 × 2,574.54
  4. Step 4: Simplify right side
    9,147.83x = 35,329,073.66
  5. Step 5: Solve for x
    x = 35,329,073.66/9,147.83
  6. Step 6: Final answer
    x = 3,862.02

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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.