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Finding the Fourth Proportional to 9,488.22, 14,240.06 and 6,717.60

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Solution

The fourth proportional to 9,488.22, 14,240.06 and 6,717.60 is: 10,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,488.22 : 14,240.06 = 6,717.60 : x
  2. Step 2: Convert to fraction form
    9,488.22/14,240.06 = 6,717.60/x
  3. Step 3: Cross multiply
    9,488.22x = 14,240.06 × 6,717.60
  4. Step 4: Simplify right side
    9,488.22x = 95,659,027.06
  5. Step 5: Solve for x
    x = 95,659,027.06/9,488.22
  6. Step 6: Final answer
    x = 10,081.87

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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.