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Finding the Fourth Proportional to 9,693.48, 14,546.76 and 6,233.16

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Solution

The fourth proportional to 9,693.48, 14,546.76 and 6,233.16 is: 9,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.48 : 14,546.76 = 6,233.16 : x
  2. Step 2: Convert to fraction form
    9,693.48/14,546.76 = 6,233.16/x
  3. Step 3: Cross multiply
    9,693.48x = 14,546.76 × 6,233.16
  4. Step 4: Simplify right side
    9,693.48x = 90,672,282.56
  5. Step 5: Solve for x
    x = 90,672,282.56/9,693.48
  6. Step 6: Final answer
    x = 9,353.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.