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Finding the Fourth Proportional to 9,883.33, 14,822.85 and 3,129.44

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Solution

The fourth proportional to 9,883.33, 14,822.85 and 3,129.44 is: 4,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.33 : 14,822.85 = 3,129.44 : x
  2. Step 2: Convert to fraction form
    9,883.33/14,822.85 = 3,129.44/x
  3. Step 3: Cross multiply
    9,883.33x = 14,822.85 × 3,129.44
  4. Step 4: Simplify right side
    9,883.33x = 46,387,278.69
  5. Step 5: Solve for x
    x = 46,387,278.69/9,883.33
  6. Step 6: Final answer
    x = 4,693.49

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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.