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Finding the Fourth Proportional to 9,616.52, 14,421.54 and 3,375.47

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Solution

The fourth proportional to 9,616.52, 14,421.54 and 3,375.47 is: 5,062.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.52 : 14,421.54 = 3,375.47 : x
  2. Step 2: Convert to fraction form
    9,616.52/14,421.54 = 3,375.47/x
  3. Step 3: Cross multiply
    9,616.52x = 14,421.54 × 3,375.47
  4. Step 4: Simplify right side
    9,616.52x = 48,679,524.34
  5. Step 5: Solve for x
    x = 48,679,524.34/9,616.52
  6. Step 6: Final answer
    x = 5,062.07

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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.