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Finding the Fourth Proportional to 9,907.50, 14,863.72 and 6,991.50

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Solution

The fourth proportional to 9,907.50, 14,863.72 and 6,991.50 is: 10,488.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.50 : 14,863.72 = 6,991.50 : x
  2. Step 2: Convert to fraction form
    9,907.50/14,863.72 = 6,991.50/x
  3. Step 3: Cross multiply
    9,907.50x = 14,863.72 × 6,991.50
  4. Step 4: Simplify right side
    9,907.50x = 103,919,698.38
  5. Step 5: Solve for x
    x = 103,919,698.38/9,907.50
  6. Step 6: Final answer
    x = 10,488.99

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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.