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Finding the Fourth Proportional to 6,226.04, 9,284.78 and 5,880.98

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Solution

The fourth proportional to 6,226.04, 9,284.78 and 5,880.98 is: 8,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.04 : 9,284.78 = 5,880.98 : x
  2. Step 2: Convert to fraction form
    6,226.04/9,284.78 = 5,880.98/x
  3. Step 3: Cross multiply
    6,226.04x = 9,284.78 × 5,880.98
  4. Step 4: Simplify right side
    6,226.04x = 54,603,605.48
  5. Step 5: Solve for x
    x = 54,603,605.48/6,226.04
  6. Step 6: Final answer
    x = 8,770.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.