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Finding the Fourth Proportional to 9,581.86, 13,223.21 and 5,333.20

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Solution

The fourth proportional to 9,581.86, 13,223.21 and 5,333.20 is: 7,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.86 : 13,223.21 = 5,333.20 : x
  2. Step 2: Convert to fraction form
    9,581.86/13,223.21 = 5,333.20/x
  3. Step 3: Cross multiply
    9,581.86x = 13,223.21 × 5,333.20
  4. Step 4: Simplify right side
    9,581.86x = 70,522,023.57
  5. Step 5: Solve for x
    x = 70,522,023.57/9,581.86
  6. Step 6: Final answer
    x = 7,359.95

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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.