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Finding the Fourth Proportional to 6,320.80, 9,482.42 and 2,424.91

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Solution

The fourth proportional to 6,320.80, 9,482.42 and 2,424.91 is: 3,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.80 : 9,482.42 = 2,424.91 : x
  2. Step 2: Convert to fraction form
    6,320.80/9,482.42 = 2,424.91/x
  3. Step 3: Cross multiply
    6,320.80x = 9,482.42 × 2,424.91
  4. Step 4: Simplify right side
    6,320.80x = 22,994,002.96
  5. Step 5: Solve for x
    x = 22,994,002.96/6,320.80
  6. Step 6: Final answer
    x = 3,637.83

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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.