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Finding the Fourth Proportional to 9,568.89, 13,202.10 and 5,587.13

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Solution

The fourth proportional to 9,568.89, 13,202.10 and 5,587.13 is: 7,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.89 : 13,202.10 = 5,587.13 : x
  2. Step 2: Convert to fraction form
    9,568.89/13,202.10 = 5,587.13/x
  3. Step 3: Cross multiply
    9,568.89x = 13,202.10 × 5,587.13
  4. Step 4: Simplify right side
    9,568.89x = 73,761,782.96
  5. Step 5: Solve for x
    x = 73,761,782.96/9,568.89
  6. Step 6: Final answer
    x = 7,708.50

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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.