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Finding the Fourth Proportional to 9,976.64, 14,964.93 and 7,787.21

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Solution

The fourth proportional to 9,976.64, 14,964.93 and 7,787.21 is: 11,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.64 : 14,964.93 = 7,787.21 : x
  2. Step 2: Convert to fraction form
    9,976.64/14,964.93 = 7,787.21/x
  3. Step 3: Cross multiply
    9,976.64x = 14,964.93 × 7,787.21
  4. Step 4: Simplify right side
    9,976.64x = 116,534,977.72
  5. Step 5: Solve for x
    x = 116,534,977.72/9,976.64
  6. Step 6: Final answer
    x = 11,680.79

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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.