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Finding the Fourth Proportional to 6,525.42, 9,788.13 and 1,908.42

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Solution

The fourth proportional to 6,525.42, 9,788.13 and 1,908.42 is: 2,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.42 : 9,788.13 = 1,908.42 : x
  2. Step 2: Convert to fraction form
    6,525.42/9,788.13 = 1,908.42/x
  3. Step 3: Cross multiply
    6,525.42x = 9,788.13 × 1,908.42
  4. Step 4: Simplify right side
    6,525.42x = 18,679,863.05
  5. Step 5: Solve for x
    x = 18,679,863.05/6,525.42
  6. Step 6: Final answer
    x = 2,862.63

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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.