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Finding the Fourth Proportional to 6,944.40, 9,578.66 and 4,288.41

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Solution

The fourth proportional to 6,944.40, 9,578.66 and 4,288.41 is: 5,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.40 : 9,578.66 = 4,288.41 : x
  2. Step 2: Convert to fraction form
    6,944.40/9,578.66 = 4,288.41/x
  3. Step 3: Cross multiply
    6,944.40x = 9,578.66 × 4,288.41
  4. Step 4: Simplify right side
    6,944.40x = 41,077,199.89
  5. Step 5: Solve for x
    x = 41,077,199.89/6,944.40
  6. Step 6: Final answer
    x = 5,915.15

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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.