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Finding the Fourth Proportional to 9,443.63, 14,165.74 and 2,869.87

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Solution

The fourth proportional to 9,443.63, 14,165.74 and 2,869.87 is: 4,304.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.63 : 14,165.74 = 2,869.87 : x
  2. Step 2: Convert to fraction form
    9,443.63/14,165.74 = 2,869.87/x
  3. Step 3: Cross multiply
    9,443.63x = 14,165.74 × 2,869.87
  4. Step 4: Simplify right side
    9,443.63x = 40,653,789.66
  5. Step 5: Solve for x
    x = 40,653,789.66/9,443.63
  6. Step 6: Final answer
    x = 4,304.89

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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.