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Finding the Fourth Proportional to 9,976.64, 14,965.11 and 2,957.37

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Solution

The fourth proportional to 9,976.64, 14,965.11 and 2,957.37 is: 4,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.64 : 14,965.11 = 2,957.37 : x
  2. Step 2: Convert to fraction form
    9,976.64/14,965.11 = 2,957.37/x
  3. Step 3: Cross multiply
    9,976.64x = 14,965.11 × 2,957.37
  4. Step 4: Simplify right side
    9,976.64x = 44,257,367.36
  5. Step 5: Solve for x
    x = 44,257,367.36/9,976.64
  6. Step 6: Final answer
    x = 4,436.10

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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.