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Finding the Fourth Proportional to 7,184.22, 9,920.46 and 5,299.08

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Solution

The fourth proportional to 7,184.22, 9,920.46 and 5,299.08 is: 7,317.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.22 : 9,920.46 = 5,299.08 : x
  2. Step 2: Convert to fraction form
    7,184.22/9,920.46 = 5,299.08/x
  3. Step 3: Cross multiply
    7,184.22x = 9,920.46 × 5,299.08
  4. Step 4: Simplify right side
    7,184.22x = 52,569,311.18
  5. Step 5: Solve for x
    x = 52,569,311.18/7,184.22
  6. Step 6: Final answer
    x = 7,317.33

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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.