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Finding the Fourth Proportional to 9,907.24, 14,863.34 and 6,991.24

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Solution

The fourth proportional to 9,907.24, 14,863.34 and 6,991.24 is: 10,488.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.24 : 14,863.34 = 6,991.24 : x
  2. Step 2: Convert to fraction form
    9,907.24/14,863.34 = 6,991.24/x
  3. Step 3: Cross multiply
    9,907.24x = 14,863.34 × 6,991.24
  4. Step 4: Simplify right side
    9,907.24x = 103,913,177.14
  5. Step 5: Solve for x
    x = 103,913,177.14/9,907.24
  6. Step 6: Final answer
    x = 10,488.61

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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.