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Finding the Fourth Proportional to 6,235.22, 9,307.21 and 5,497.13

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Solution

The fourth proportional to 6,235.22, 9,307.21 and 5,497.13 is: 8,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.22 : 9,307.21 = 5,497.13 : x
  2. Step 2: Convert to fraction form
    6,235.22/9,307.21 = 5,497.13/x
  3. Step 3: Cross multiply
    6,235.22x = 9,307.21 × 5,497.13
  4. Step 4: Simplify right side
    6,235.22x = 51,162,906.30
  5. Step 5: Solve for x
    x = 51,162,906.30/6,235.22
  6. Step 6: Final answer
    x = 8,205.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.