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Finding the Fourth Proportional to 9,586.22, 13,229.11 and 5,337.46

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Solution

The fourth proportional to 9,586.22, 13,229.11 and 5,337.46 is: 7,365.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.22 : 13,229.11 = 5,337.46 : x
  2. Step 2: Convert to fraction form
    9,586.22/13,229.11 = 5,337.46/x
  3. Step 3: Cross multiply
    9,586.22x = 13,229.11 × 5,337.46
  4. Step 4: Simplify right side
    9,586.22x = 70,609,868.67
  5. Step 5: Solve for x
    x = 70,609,868.67/9,586.22
  6. Step 6: Final answer
    x = 7,365.77

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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.