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Finding the Fourth Proportional to 9,863.83, 14,782.78 and 4,671.19

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Solution

The fourth proportional to 9,863.83, 14,782.78 and 4,671.19 is: 7,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.83 : 14,782.78 = 4,671.19 : x
  2. Step 2: Convert to fraction form
    9,863.83/14,782.78 = 4,671.19/x
  3. Step 3: Cross multiply
    9,863.83x = 14,782.78 × 4,671.19
  4. Step 4: Simplify right side
    9,863.83x = 69,053,076.84
  5. Step 5: Solve for x
    x = 69,053,076.84/9,863.83
  6. Step 6: Final answer
    x = 7,000.64

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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.