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Finding the Fourth Proportional to 9,707.62, 13,396.44 and 5,515.87

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Solution

The fourth proportional to 9,707.62, 13,396.44 and 5,515.87 is: 7,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.62 : 13,396.44 = 5,515.87 : x
  2. Step 2: Convert to fraction form
    9,707.62/13,396.44 = 5,515.87/x
  3. Step 3: Cross multiply
    9,707.62x = 13,396.44 × 5,515.87
  4. Step 4: Simplify right side
    9,707.62x = 73,892,954.52
  5. Step 5: Solve for x
    x = 73,892,954.52/9,707.62
  6. Step 6: Final answer
    x = 7,611.85

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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.