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Finding the Fourth Proportional to 9,821.50, 14,712.54 and 4,876.18

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Solution

The fourth proportional to 9,821.50, 14,712.54 and 4,876.18 is: 7,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.50 : 14,712.54 = 4,876.18 : x
  2. Step 2: Convert to fraction form
    9,821.50/14,712.54 = 4,876.18/x
  3. Step 3: Cross multiply
    9,821.50x = 14,712.54 × 4,876.18
  4. Step 4: Simplify right side
    9,821.50x = 71,740,993.30
  5. Step 5: Solve for x
    x = 71,740,993.30/9,821.50
  6. Step 6: Final answer
    x = 7,304.48

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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.