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Finding the Fourth Proportional to 9,586.99, 13,229.11 and 5,607.33

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Solution

The fourth proportional to 9,586.99, 13,229.11 and 5,607.33 is: 7,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.99 : 13,229.11 = 5,607.33 : x
  2. Step 2: Convert to fraction form
    9,586.99/13,229.11 = 5,607.33/x
  3. Step 3: Cross multiply
    9,586.99x = 13,229.11 × 5,607.33
  4. Step 4: Simplify right side
    9,586.99x = 74,179,911.24
  5. Step 5: Solve for x
    x = 74,179,911.24/9,586.99
  6. Step 6: Final answer
    x = 7,737.56

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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.