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Finding the Fourth Proportional to 9,952.83, 13,735.31 and 5,972.49

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Solution

The fourth proportional to 9,952.83, 13,735.31 and 5,972.49 is: 8,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.83 : 13,735.31 = 5,972.49 : x
  2. Step 2: Convert to fraction form
    9,952.83/13,735.31 = 5,972.49/x
  3. Step 3: Cross multiply
    9,952.83x = 13,735.31 × 5,972.49
  4. Step 4: Simplify right side
    9,952.83x = 82,033,971.76
  5. Step 5: Solve for x
    x = 82,033,971.76/9,952.83
  6. Step 6: Final answer
    x = 8,242.28

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