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Finding the Fourth Proportional to 9,498.67, 14,245.98 and 6,717.49

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Solution

The fourth proportional to 9,498.67, 14,245.98 and 6,717.49 is: 10,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.67 : 14,245.98 = 6,717.49 : x
  2. Step 2: Convert to fraction form
    9,498.67/14,245.98 = 6,717.49/x
  3. Step 3: Cross multiply
    9,498.67x = 14,245.98 × 6,717.49
  4. Step 4: Simplify right side
    9,498.67x = 95,697,228.19
  5. Step 5: Solve for x
    x = 95,697,228.19/9,498.67
  6. Step 6: Final answer
    x = 10,074.80

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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.