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Finding the Fourth Proportional to 9,863.19, 14,796 and 4,019.04

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Solution

The fourth proportional to 9,863.19, 14,796 and 4,019.04 is: 6,029.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.19 : 14,796 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    9,863.19/14,796 = 4,019.04/x
  3. Step 3: Cross multiply
    9,863.19x = 14,796 × 4,019.04
  4. Step 4: Simplify right side
    9,863.19x = 59,465,715.84
  5. Step 5: Solve for x
    x = 59,465,715.84/9,863.19
  6. Step 6: Final answer
    x = 6,029.06

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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.