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Finding the Fourth Proportional to 9,865.83, 14,801.50 and 5,486.37

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Solution

The fourth proportional to 9,865.83, 14,801.50 and 5,486.37 is: 8,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.83 : 14,801.50 = 5,486.37 : x
  2. Step 2: Convert to fraction form
    9,865.83/14,801.50 = 5,486.37/x
  3. Step 3: Cross multiply
    9,865.83x = 14,801.50 × 5,486.37
  4. Step 4: Simplify right side
    9,865.83x = 81,206,456.91
  5. Step 5: Solve for x
    x = 81,206,456.91/9,865.83
  6. Step 6: Final answer
    x = 8,231.08

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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.