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Finding the Fourth Proportional to 6,436.40, 9,664.20 and 4,977.20

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Solution

The fourth proportional to 6,436.40, 9,664.20 and 4,977.20 is: 7,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.40 : 9,664.20 = 4,977.20 : x
  2. Step 2: Convert to fraction form
    6,436.40/9,664.20 = 4,977.20/x
  3. Step 3: Cross multiply
    6,436.40x = 9,664.20 × 4,977.20
  4. Step 4: Simplify right side
    6,436.40x = 48,100,656.24
  5. Step 5: Solve for x
    x = 48,100,656.24/6,436.40
  6. Step 6: Final answer
    x = 7,473.22

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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.