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Finding the Fourth Proportional to 6,249.25, 9,373.64 and 1,569.29

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Solution

The fourth proportional to 6,249.25, 9,373.64 and 1,569.29 is: 2,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.25 : 9,373.64 = 1,569.29 : x
  2. Step 2: Convert to fraction form
    6,249.25/9,373.64 = 1,569.29/x
  3. Step 3: Cross multiply
    6,249.25x = 9,373.64 × 1,569.29
  4. Step 4: Simplify right side
    6,249.25x = 14,709,975.10
  5. Step 5: Solve for x
    x = 14,709,975.10/6,249.25
  6. Step 6: Final answer
    x = 2,353.88

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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.