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Finding the Fourth Proportional to 6,424.62, 9,642.85 and 4,776.17

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Solution

The fourth proportional to 6,424.62, 9,642.85 and 4,776.17 is: 7,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.62 : 9,642.85 = 4,776.17 : x
  2. Step 2: Convert to fraction form
    6,424.62/9,642.85 = 4,776.17/x
  3. Step 3: Cross multiply
    6,424.62x = 9,642.85 × 4,776.17
  4. Step 4: Simplify right side
    6,424.62x = 46,055,830.73
  5. Step 5: Solve for x
    x = 46,055,830.73/6,424.62
  6. Step 6: Final answer
    x = 7,168.65

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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.