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Finding the Fourth Proportional to 9,198.42, 13,798.14 and 2,624.10

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Solution

The fourth proportional to 9,198.42, 13,798.14 and 2,624.10 is: 3,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.42 : 13,798.14 = 2,624.10 : x
  2. Step 2: Convert to fraction form
    9,198.42/13,798.14 = 2,624.10/x
  3. Step 3: Cross multiply
    9,198.42x = 13,798.14 × 2,624.10
  4. Step 4: Simplify right side
    9,198.42x = 36,207,699.17
  5. Step 5: Solve for x
    x = 36,207,699.17/9,198.42
  6. Step 6: Final answer
    x = 3,936.30

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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.