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Finding the Fourth Proportional to 6,269.25, 9,404.45 and 1,652.25

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Solution

The fourth proportional to 6,269.25, 9,404.45 and 1,652.25 is: 2,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.25 : 9,404.45 = 1,652.25 : x
  2. Step 2: Convert to fraction form
    6,269.25/9,404.45 = 1,652.25/x
  3. Step 3: Cross multiply
    6,269.25x = 9,404.45 × 1,652.25
  4. Step 4: Simplify right side
    6,269.25x = 15,538,494.25
  5. Step 5: Solve for x
    x = 15,538,494.25/6,269.25
  6. Step 6: Final answer
    x = 2,478.53

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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.