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Finding the Fourth Proportional to 9,198.68, 13,797.96 and 6,430.76

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Solution

The fourth proportional to 9,198.68, 13,797.96 and 6,430.76 is: 9,646.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.68 : 13,797.96 = 6,430.76 : x
  2. Step 2: Convert to fraction form
    9,198.68/13,797.96 = 6,430.76/x
  3. Step 3: Cross multiply
    9,198.68x = 13,797.96 × 6,430.76
  4. Step 4: Simplify right side
    9,198.68x = 88,731,369.25
  5. Step 5: Solve for x
    x = 88,731,369.25/9,198.68
  6. Step 6: Final answer
    x = 9,646.10

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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.