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Finding the Fourth Proportional to 9,269.87, 13,905.41 and 2,695.50

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Solution

The fourth proportional to 9,269.87, 13,905.41 and 2,695.50 is: 4,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.87 : 13,905.41 = 2,695.50 : x
  2. Step 2: Convert to fraction form
    9,269.87/13,905.41 = 2,695.50/x
  3. Step 3: Cross multiply
    9,269.87x = 13,905.41 × 2,695.50
  4. Step 4: Simplify right side
    9,269.87x = 37,482,019.18
  5. Step 5: Solve for x
    x = 37,482,019.18/9,269.87
  6. Step 6: Final answer
    x = 4,043.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.