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Finding the Fourth Proportional to 9,873, 13,624.56 and 5,895

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Solution

The fourth proportional to 9,873, 13,624.56 and 5,895 is: 8,134.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873 : 13,624.56 = 5,895 : x
  2. Step 2: Convert to fraction form
    9,873/13,624.56 = 5,895/x
  3. Step 3: Cross multiply
    9,873x = 13,624.56 × 5,895
  4. Step 4: Simplify right side
    9,873x = 80,316,781.20
  5. Step 5: Solve for x
    x = 80,316,781.20/9,873
  6. Step 6: Final answer
    x = 8,134.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.