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Finding the Fourth Proportional to 6,895.37, 9,517.57 and 4,064.39

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Solution

The fourth proportional to 6,895.37, 9,517.57 and 4,064.39 is: 5,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.37 : 9,517.57 = 4,064.39 : x
  2. Step 2: Convert to fraction form
    6,895.37/9,517.57 = 4,064.39/x
  3. Step 3: Cross multiply
    6,895.37x = 9,517.57 × 4,064.39
  4. Step 4: Simplify right side
    6,895.37x = 38,683,094.27
  5. Step 5: Solve for x
    x = 38,683,094.27/6,895.37
  6. Step 6: Final answer
    x = 5,610.01

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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.