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Finding the Fourth Proportional to 9,889.61, 14,834.07 and 2,869.83

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Solution

The fourth proportional to 9,889.61, 14,834.07 and 2,869.83 is: 4,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.61 : 14,834.07 = 2,869.83 : x
  2. Step 2: Convert to fraction form
    9,889.61/14,834.07 = 2,869.83/x
  3. Step 3: Cross multiply
    9,889.61x = 14,834.07 × 2,869.83
  4. Step 4: Simplify right side
    9,889.61x = 42,571,259.11
  5. Step 5: Solve for x
    x = 42,571,259.11/9,889.61
  6. Step 6: Final answer
    x = 4,304.65

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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.