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Finding the Fourth Proportional to 9,093, 13,642.70 and 4,479.24

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Solution

The fourth proportional to 9,093, 13,642.70 and 4,479.24 is: 6,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093 : 13,642.70 = 4,479.24 : x
  2. Step 2: Convert to fraction form
    9,093/13,642.70 = 4,479.24/x
  3. Step 3: Cross multiply
    9,093x = 13,642.70 × 4,479.24
  4. Step 4: Simplify right side
    9,093x = 61,108,927.55
  5. Step 5: Solve for x
    x = 61,108,927.55/9,093
  6. Step 6: Final answer
    x = 6,720.44

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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.