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Finding the Fourth Proportional to 6,277.62, 9,410.62 and 2,326.68

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Solution

The fourth proportional to 6,277.62, 9,410.62 and 2,326.68 is: 3,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.62 : 9,410.62 = 2,326.68 : x
  2. Step 2: Convert to fraction form
    6,277.62/9,410.62 = 2,326.68/x
  3. Step 3: Cross multiply
    6,277.62x = 9,410.62 × 2,326.68
  4. Step 4: Simplify right side
    6,277.62x = 21,895,501.34
  5. Step 5: Solve for x
    x = 21,895,501.34/6,277.62
  6. Step 6: Final answer
    x = 3,487.87

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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.