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Finding the Fourth Proportional to 9,856.50, 13,601.97 and 6,718.17

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Solution

The fourth proportional to 9,856.50, 13,601.97 and 6,718.17 is: 9,271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.50 : 13,601.97 = 6,718.17 : x
  2. Step 2: Convert to fraction form
    9,856.50/13,601.97 = 6,718.17/x
  3. Step 3: Cross multiply
    9,856.50x = 13,601.97 × 6,718.17
  4. Step 4: Simplify right side
    9,856.50x = 91,380,346.79
  5. Step 5: Solve for x
    x = 91,380,346.79/9,856.50
  6. Step 6: Final answer
    x = 9,271.07

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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.