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Finding the Fourth Proportional to 9,698.70, 14,550.09 and 5,535.30

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Solution

The fourth proportional to 9,698.70, 14,550.09 and 5,535.30 is: 8,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.70 : 14,550.09 = 5,535.30 : x
  2. Step 2: Convert to fraction form
    9,698.70/14,550.09 = 5,535.30/x
  3. Step 3: Cross multiply
    9,698.70x = 14,550.09 × 5,535.30
  4. Step 4: Simplify right side
    9,698.70x = 80,539,113.18
  5. Step 5: Solve for x
    x = 80,539,113.18/9,698.70
  6. Step 6: Final answer
    x = 8,304.11

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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.