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Finding the Fourth Proportional to 9,603, 14,404.80 and 3,029.24

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Solution

The fourth proportional to 9,603, 14,404.80 and 3,029.24 is: 4,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 14,404.80 = 3,029.24 : x
  2. Step 2: Convert to fraction form
    9,603/14,404.80 = 3,029.24/x
  3. Step 3: Cross multiply
    9,603x = 14,404.80 × 3,029.24
  4. Step 4: Simplify right side
    9,603x = 43,635,596.35
  5. Step 5: Solve for x
    x = 43,635,596.35/9,603
  6. Step 6: Final answer
    x = 4,543.95

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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.