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Finding the Fourth Proportional to 9,586.73, 13,229.86 and 5,337.57

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Solution

The fourth proportional to 9,586.73, 13,229.86 and 5,337.57 is: 7,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.73 : 13,229.86 = 5,337.57 : x
  2. Step 2: Convert to fraction form
    9,586.73/13,229.86 = 5,337.57/x
  3. Step 3: Cross multiply
    9,586.73x = 13,229.86 × 5,337.57
  4. Step 4: Simplify right side
    9,586.73x = 70,615,303.84
  5. Step 5: Solve for x
    x = 70,615,303.84/9,586.73
  6. Step 6: Final answer
    x = 7,365.94

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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.