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Finding the Fourth Proportional to 9,313.98, 13,976 and 7,238.16

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Solution

The fourth proportional to 9,313.98, 13,976 and 7,238.16 is: 10,861.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.98 : 13,976 = 7,238.16 : x
  2. Step 2: Convert to fraction form
    9,313.98/13,976 = 7,238.16/x
  3. Step 3: Cross multiply
    9,313.98x = 13,976 × 7,238.16
  4. Step 4: Simplify right side
    9,313.98x = 101,160,524.16
  5. Step 5: Solve for x
    x = 101,160,524.16/9,313.98
  6. Step 6: Final answer
    x = 10,861.15

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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.