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Finding the Fourth Proportional to 9,776.97, 14,665.16 and 2,381.32

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Solution

The fourth proportional to 9,776.97, 14,665.16 and 2,381.32 is: 3,571.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.97 : 14,665.16 = 2,381.32 : x
  2. Step 2: Convert to fraction form
    9,776.97/14,665.16 = 2,381.32/x
  3. Step 3: Cross multiply
    9,776.97x = 14,665.16 × 2,381.32
  4. Step 4: Simplify right side
    9,776.97x = 34,922,463.10
  5. Step 5: Solve for x
    x = 34,922,463.10/9,776.97
  6. Step 6: Final answer
    x = 3,571.91

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Why These Related Problems?

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