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Finding the Fourth Proportional to 9,841.52, 14,764.32 and 4,644.56

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Solution

The fourth proportional to 9,841.52, 14,764.32 and 4,644.56 is: 6,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.52 : 14,764.32 = 4,644.56 : x
  2. Step 2: Convert to fraction form
    9,841.52/14,764.32 = 4,644.56/x
  3. Step 3: Cross multiply
    9,841.52x = 14,764.32 × 4,644.56
  4. Step 4: Simplify right side
    9,841.52x = 68,573,770.10
  5. Step 5: Solve for x
    x = 68,573,770.10/9,841.52
  6. Step 6: Final answer
    x = 6,967.80

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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.