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Finding the Fourth Proportional to 6,226.94, 9,337.82 and 2,526.59

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Solution

The fourth proportional to 6,226.94, 9,337.82 and 2,526.59 is: 3,788.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.94 : 9,337.82 = 2,526.59 : x
  2. Step 2: Convert to fraction form
    6,226.94/9,337.82 = 2,526.59/x
  3. Step 3: Cross multiply
    6,226.94x = 9,337.82 × 2,526.59
  4. Step 4: Simplify right side
    6,226.94x = 23,592,853.35
  5. Step 5: Solve for x
    x = 23,592,853.35/6,226.94
  6. Step 6: Final answer
    x = 3,788.83

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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.