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Finding the Fourth Proportional to 9,901.12, 14,861.40 and 7,441.96

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Solution

The fourth proportional to 9,901.12, 14,861.40 and 7,441.96 is: 11,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.12 : 14,861.40 = 7,441.96 : x
  2. Step 2: Convert to fraction form
    9,901.12/14,861.40 = 7,441.96/x
  3. Step 3: Cross multiply
    9,901.12x = 14,861.40 × 7,441.96
  4. Step 4: Simplify right side
    9,901.12x = 110,597,944.34
  5. Step 5: Solve for x
    x = 110,597,944.34/9,901.12
  6. Step 6: Final answer
    x = 11,170.25

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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.