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Finding the Fourth Proportional to 6,427.36, 9,637.04 and 2,960.16

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Solution

The fourth proportional to 6,427.36, 9,637.04 and 2,960.16 is: 4,438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.36 : 9,637.04 = 2,960.16 : x
  2. Step 2: Convert to fraction form
    6,427.36/9,637.04 = 2,960.16/x
  3. Step 3: Cross multiply
    6,427.36x = 9,637.04 × 2,960.16
  4. Step 4: Simplify right side
    6,427.36x = 28,527,180.33
  5. Step 5: Solve for x
    x = 28,527,180.33/6,427.36
  6. Step 6: Final answer
    x = 4,438.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.