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Finding the Fourth Proportional to 9,884.43, 13,648.82 and 7,060.46

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Solution

The fourth proportional to 9,884.43, 13,648.82 and 7,060.46 is: 9,749.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.43 : 13,648.82 = 7,060.46 : x
  2. Step 2: Convert to fraction form
    9,884.43/13,648.82 = 7,060.46/x
  3. Step 3: Cross multiply
    9,884.43x = 13,648.82 × 7,060.46
  4. Step 4: Simplify right side
    9,884.43x = 96,366,947.66
  5. Step 5: Solve for x
    x = 96,366,947.66/9,884.43
  6. Step 6: Final answer
    x = 9,749.37

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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.