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Finding the Fourth Proportional to 9,586.82, 13,229.87 and 5,607.16

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Solution

The fourth proportional to 9,586.82, 13,229.87 and 5,607.16 is: 7,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.82 : 13,229.87 = 5,607.16 : x
  2. Step 2: Convert to fraction form
    9,586.82/13,229.87 = 5,607.16/x
  3. Step 3: Cross multiply
    9,586.82x = 13,229.87 × 5,607.16
  4. Step 4: Simplify right side
    9,586.82x = 74,181,936.76
  5. Step 5: Solve for x
    x = 74,181,936.76/9,586.82
  6. Step 6: Final answer
    x = 7,737.91

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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.