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Finding the Fourth Proportional to 6,176.49, 9,262.62 and 2,477.76

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Solution

The fourth proportional to 6,176.49, 9,262.62 and 2,477.76 is: 3,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.49 : 9,262.62 = 2,477.76 : x
  2. Step 2: Convert to fraction form
    6,176.49/9,262.62 = 2,477.76/x
  3. Step 3: Cross multiply
    6,176.49x = 9,262.62 × 2,477.76
  4. Step 4: Simplify right side
    6,176.49x = 22,950,549.33
  5. Step 5: Solve for x
    x = 22,950,549.33/6,176.49
  6. Step 6: Final answer
    x = 3,715.79

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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.