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Finding the Fourth Proportional to 6,594.42, 9,891.51 and 1,914.24

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Solution

The fourth proportional to 6,594.42, 9,891.51 and 1,914.24 is: 2,871.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.42 : 9,891.51 = 1,914.24 : x
  2. Step 2: Convert to fraction form
    6,594.42/9,891.51 = 1,914.24/x
  3. Step 3: Cross multiply
    6,594.42x = 9,891.51 × 1,914.24
  4. Step 4: Simplify right side
    6,594.42x = 18,934,754.02
  5. Step 5: Solve for x
    x = 18,934,754.02/6,594.42
  6. Step 6: Final answer
    x = 2,871.33

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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.