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Finding the Fourth Proportional to 9,909.24, 14,866.34 and 6,993.24

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Solution

The fourth proportional to 9,909.24, 14,866.34 and 6,993.24 is: 10,491.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.24 : 14,866.34 = 6,993.24 : x
  2. Step 2: Convert to fraction form
    9,909.24/14,866.34 = 6,993.24/x
  3. Step 3: Cross multiply
    9,909.24x = 14,866.34 × 6,993.24
  4. Step 4: Simplify right side
    9,909.24x = 103,963,883.54
  5. Step 5: Solve for x
    x = 103,963,883.54/9,909.24
  6. Step 6: Final answer
    x = 10,491.61

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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.