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Finding the Fourth Proportional to 9,944.00, 13,724.03 and 6,417.46

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Solution

The fourth proportional to 9,944.00, 13,724.03 and 6,417.46 is: 8,856.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.00 : 13,724.03 = 6,417.46 : x
  2. Step 2: Convert to fraction form
    9,944.00/13,724.03 = 6,417.46/x
  3. Step 3: Cross multiply
    9,944.00x = 13,724.03 × 6,417.46
  4. Step 4: Simplify right side
    9,944.00x = 88,073,446.76
  5. Step 5: Solve for x
    x = 88,073,446.76/9,944.00
  6. Step 6: Final answer
    x = 8,856.94

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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.