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Finding the Fourth Proportional to 9,586.72, 13,236.88 and 9,433.62

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Solution

The fourth proportional to 9,586.72, 13,236.88 and 9,433.62 is: 13,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.72 : 13,236.88 = 9,433.62 : x
  2. Step 2: Convert to fraction form
    9,586.72/13,236.88 = 9,433.62/x
  3. Step 3: Cross multiply
    9,586.72x = 13,236.88 × 9,433.62
  4. Step 4: Simplify right side
    9,586.72x = 124,871,695.91
  5. Step 5: Solve for x
    x = 124,871,695.91/9,586.72
  6. Step 6: Final answer
    x = 13,025.49

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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.