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Finding the Fourth Proportional to 9,198.84, 13,783.14 and 5,306.52

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Solution

The fourth proportional to 9,198.84, 13,783.14 and 5,306.52 is: 7,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.84 : 13,783.14 = 5,306.52 : x
  2. Step 2: Convert to fraction form
    9,198.84/13,783.14 = 5,306.52/x
  3. Step 3: Cross multiply
    9,198.84x = 13,783.14 × 5,306.52
  4. Step 4: Simplify right side
    9,198.84x = 73,140,508.07
  5. Step 5: Solve for x
    x = 73,140,508.07/9,198.84
  6. Step 6: Final answer
    x = 7,951.06

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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.