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Finding the Fourth Proportional to 6,049.47, 9,074.14 and 1,889.51

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Solution

The fourth proportional to 6,049.47, 9,074.14 and 1,889.51 is: 2,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.47 : 9,074.14 = 1,889.51 : x
  2. Step 2: Convert to fraction form
    6,049.47/9,074.14 = 1,889.51/x
  3. Step 3: Cross multiply
    6,049.47x = 9,074.14 × 1,889.51
  4. Step 4: Simplify right side
    6,049.47x = 17,145,689.85
  5. Step 5: Solve for x
    x = 17,145,689.85/6,049.47
  6. Step 6: Final answer
    x = 2,834.25

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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.