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Finding the Fourth Proportional to 9,895.50, 14,843.20 and 4,052.11

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Solution

The fourth proportional to 9,895.50, 14,843.20 and 4,052.11 is: 6,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.50 : 14,843.20 = 4,052.11 : x
  2. Step 2: Convert to fraction form
    9,895.50/14,843.20 = 4,052.11/x
  3. Step 3: Cross multiply
    9,895.50x = 14,843.20 × 4,052.11
  4. Step 4: Simplify right side
    9,895.50x = 60,146,279.15
  5. Step 5: Solve for x
    x = 60,146,279.15/9,895.50
  6. Step 6: Final answer
    x = 6,078.14

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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.