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Finding the Fourth Proportional to 9,520.87, 13,138.98 and 5,329.11

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Solution

The fourth proportional to 9,520.87, 13,138.98 and 5,329.11 is: 7,354.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.87 : 13,138.98 = 5,329.11 : x
  2. Step 2: Convert to fraction form
    9,520.87/13,138.98 = 5,329.11/x
  3. Step 3: Cross multiply
    9,520.87x = 13,138.98 × 5,329.11
  4. Step 4: Simplify right side
    9,520.87x = 70,019,043.06
  5. Step 5: Solve for x
    x = 70,019,043.06/9,520.87
  6. Step 6: Final answer
    x = 7,354.27

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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.