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Finding the Fourth Proportional to 9,698.15, 14,520.12 and 5,239.85

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Solution

The fourth proportional to 9,698.15, 14,520.12 and 5,239.85 is: 7,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.15 : 14,520.12 = 5,239.85 : x
  2. Step 2: Convert to fraction form
    9,698.15/14,520.12 = 5,239.85/x
  3. Step 3: Cross multiply
    9,698.15x = 14,520.12 × 5,239.85
  4. Step 4: Simplify right side
    9,698.15x = 76,083,191.28
  5. Step 5: Solve for x
    x = 76,083,191.28/9,698.15
  6. Step 6: Final answer
    x = 7,845.12

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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.