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Finding the Fourth Proportional to 9,290.50, 12,822.51 and 5,311.78

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Solution

The fourth proportional to 9,290.50, 12,822.51 and 5,311.78 is: 7,331.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.50 : 12,822.51 = 5,311.78 : x
  2. Step 2: Convert to fraction form
    9,290.50/12,822.51 = 5,311.78/x
  3. Step 3: Cross multiply
    9,290.50x = 12,822.51 × 5,311.78
  4. Step 4: Simplify right side
    9,290.50x = 68,110,352.17
  5. Step 5: Solve for x
    x = 68,110,352.17/9,290.50
  6. Step 6: Final answer
    x = 7,331.18

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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.