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Finding the Fourth Proportional to 9,889.62, 14,836.74 and 2,869.80

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Solution

The fourth proportional to 9,889.62, 14,836.74 and 2,869.80 is: 4,305.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.62 : 14,836.74 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    9,889.62/14,836.74 = 2,869.80/x
  3. Step 3: Cross multiply
    9,889.62x = 14,836.74 × 2,869.80
  4. Step 4: Simplify right side
    9,889.62x = 42,578,462.10
  5. Step 5: Solve for x
    x = 42,578,462.10/9,889.62
  6. Step 6: Final answer
    x = 4,305.37

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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.