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Finding the Fourth Proportional to 9,158.01, 13,737.82 and 4,996.23

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Solution

The fourth proportional to 9,158.01, 13,737.82 and 4,996.23 is: 7,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.01 : 13,737.82 = 4,996.23 : x
  2. Step 2: Convert to fraction form
    9,158.01/13,737.82 = 4,996.23/x
  3. Step 3: Cross multiply
    9,158.01x = 13,737.82 × 4,996.23
  4. Step 4: Simplify right side
    9,158.01x = 68,637,239.73
  5. Step 5: Solve for x
    x = 68,637,239.73/9,158.01
  6. Step 6: Final answer
    x = 7,494.78

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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.