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Finding the Fourth Proportional to 9,862.94, 14,786.84 and 4,015.82

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Solution

The fourth proportional to 9,862.94, 14,786.84 and 4,015.82 is: 6,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.94 : 14,786.84 = 4,015.82 : x
  2. Step 2: Convert to fraction form
    9,862.94/14,786.84 = 4,015.82/x
  3. Step 3: Cross multiply
    9,862.94x = 14,786.84 × 4,015.82
  4. Step 4: Simplify right side
    9,862.94x = 59,381,223.91
  5. Step 5: Solve for x
    x = 59,381,223.91/9,862.94
  6. Step 6: Final answer
    x = 6,020.64

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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.