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Finding the Fourth Proportional to 9,469.92, 14,211.36 and 4,856.16

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Solution

The fourth proportional to 9,469.92, 14,211.36 and 4,856.16 is: 7,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.92 : 14,211.36 = 4,856.16 : x
  2. Step 2: Convert to fraction form
    9,469.92/14,211.36 = 4,856.16/x
  3. Step 3: Cross multiply
    9,469.92x = 14,211.36 × 4,856.16
  4. Step 4: Simplify right side
    9,469.92x = 69,012,637.98
  5. Step 5: Solve for x
    x = 69,012,637.98/9,469.92
  6. Step 6: Final answer
    x = 7,287.56

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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.