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Finding the Fourth Proportional to 9,933.69, 14,900.36 and 5,252.70

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Solution

The fourth proportional to 9,933.69, 14,900.36 and 5,252.70 is: 7,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933.69 : 14,900.36 = 5,252.70 : x
  2. Step 2: Convert to fraction form
    9,933.69/14,900.36 = 5,252.70/x
  3. Step 3: Cross multiply
    9,933.69x = 14,900.36 × 5,252.70
  4. Step 4: Simplify right side
    9,933.69x = 78,267,111.09
  5. Step 5: Solve for x
    x = 78,267,111.09/9,933.69
  6. Step 6: Final answer
    x = 7,878.96

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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.