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Finding the Fourth Proportional to 6,289.52, 9,436.68 and 2,343.20

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Solution

The fourth proportional to 6,289.52, 9,436.68 and 2,343.20 is: 3,515.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.52 : 9,436.68 = 2,343.20 : x
  2. Step 2: Convert to fraction form
    6,289.52/9,436.68 = 2,343.20/x
  3. Step 3: Cross multiply
    6,289.52x = 9,436.68 × 2,343.20
  4. Step 4: Simplify right side
    6,289.52x = 22,112,028.58
  5. Step 5: Solve for x
    x = 22,112,028.58/6,289.52
  6. Step 6: Final answer
    x = 3,515.69

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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.