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Finding the Fourth Proportional to 9,822.53, 14,739.95 and 3,979.15

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Solution

The fourth proportional to 9,822.53, 14,739.95 and 3,979.15 is: 5,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.53 : 14,739.95 = 3,979.15 : x
  2. Step 2: Convert to fraction form
    9,822.53/14,739.95 = 3,979.15/x
  3. Step 3: Cross multiply
    9,822.53x = 14,739.95 × 3,979.15
  4. Step 4: Simplify right side
    9,822.53x = 58,652,445.14
  5. Step 5: Solve for x
    x = 58,652,445.14/9,822.53
  6. Step 6: Final answer
    x = 5,971.21

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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.