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Finding the Fourth Proportional to 9,311.39, 13,967.07 and 2,737.58

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Solution

The fourth proportional to 9,311.39, 13,967.07 and 2,737.58 is: 4,106.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.39 : 13,967.07 = 2,737.58 : x
  2. Step 2: Convert to fraction form
    9,311.39/13,967.07 = 2,737.58/x
  3. Step 3: Cross multiply
    9,311.39x = 13,967.07 × 2,737.58
  4. Step 4: Simplify right side
    9,311.39x = 38,235,901.66
  5. Step 5: Solve for x
    x = 38,235,901.66/9,311.39
  6. Step 6: Final answer
    x = 4,106.36

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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.