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Finding the Fourth Proportional to 9,974.48, 13,752.60 and 6,242

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Solution

The fourth proportional to 9,974.48, 13,752.60 and 6,242 is: 8,606.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.48 : 13,752.60 = 6,242 : x
  2. Step 2: Convert to fraction form
    9,974.48/13,752.60 = 6,242/x
  3. Step 3: Cross multiply
    9,974.48x = 13,752.60 × 6,242
  4. Step 4: Simplify right side
    9,974.48x = 85,843,729.20
  5. Step 5: Solve for x
    x = 85,843,729.20/9,974.48
  6. Step 6: Final answer
    x = 8,606.34

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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.