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Finding the Fourth Proportional to 9,809.96, 13,534.43 and 5,560.56

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Solution

The fourth proportional to 9,809.96, 13,534.43 and 5,560.56 is: 7,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.96 : 13,534.43 = 5,560.56 : x
  2. Step 2: Convert to fraction form
    9,809.96/13,534.43 = 5,560.56/x
  3. Step 3: Cross multiply
    9,809.96x = 13,534.43 × 5,560.56
  4. Step 4: Simplify right side
    9,809.96x = 75,258,982.28
  5. Step 5: Solve for x
    x = 75,258,982.28/9,809.96
  6. Step 6: Final answer
    x = 7,671.69

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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.