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Finding the Fourth Proportional to 9,853, 14,773.62 and 3,277.48

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Solution

The fourth proportional to 9,853, 14,773.62 and 3,277.48 is: 4,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853 : 14,773.62 = 3,277.48 : x
  2. Step 2: Convert to fraction form
    9,853/14,773.62 = 3,277.48/x
  3. Step 3: Cross multiply
    9,853x = 14,773.62 × 3,277.48
  4. Step 4: Simplify right side
    9,853x = 48,420,244.08
  5. Step 5: Solve for x
    x = 48,420,244.08/9,853
  6. Step 6: Final answer
    x = 4,914.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.