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Finding the Fourth Proportional to 6,896.62, 9,515.70 and 4,064.15

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Solution

The fourth proportional to 6,896.62, 9,515.70 and 4,064.15 is: 5,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.62 : 9,515.70 = 4,064.15 : x
  2. Step 2: Convert to fraction form
    6,896.62/9,515.70 = 4,064.15/x
  3. Step 3: Cross multiply
    6,896.62x = 9,515.70 × 4,064.15
  4. Step 4: Simplify right side
    6,896.62x = 38,673,232.16
  5. Step 5: Solve for x
    x = 38,673,232.16/6,896.62
  6. Step 6: Final answer
    x = 5,607.56

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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.