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Finding the Fourth Proportional to 9,257.85, 12,776.67 and 5,280.21

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Solution

The fourth proportional to 9,257.85, 12,776.67 and 5,280.21 is: 7,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.85 : 12,776.67 = 5,280.21 : x
  2. Step 2: Convert to fraction form
    9,257.85/12,776.67 = 5,280.21/x
  3. Step 3: Cross multiply
    9,257.85x = 12,776.67 × 5,280.21
  4. Step 4: Simplify right side
    9,257.85x = 67,463,500.70
  5. Step 5: Solve for x
    x = 67,463,500.70/9,257.85
  6. Step 6: Final answer
    x = 7,287.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.