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Finding the Fourth Proportional to 9,158.54, 13,737.82 and 2,232.98

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Solution

The fourth proportional to 9,158.54, 13,737.82 and 2,232.98 is: 3,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.54 : 13,737.82 = 2,232.98 : x
  2. Step 2: Convert to fraction form
    9,158.54/13,737.82 = 2,232.98/x
  3. Step 3: Cross multiply
    9,158.54x = 13,737.82 × 2,232.98
  4. Step 4: Simplify right side
    9,158.54x = 30,676,277.30
  5. Step 5: Solve for x
    x = 30,676,277.30/9,158.54
  6. Step 6: Final answer
    x = 3,349.47

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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.