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Finding the Fourth Proportional to 9,398.22, 12,968.91 and 5,206.38

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Solution

The fourth proportional to 9,398.22, 12,968.91 and 5,206.38 is: 7,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.22 : 12,968.91 = 5,206.38 : x
  2. Step 2: Convert to fraction form
    9,398.22/12,968.91 = 5,206.38/x
  3. Step 3: Cross multiply
    9,398.22x = 12,968.91 × 5,206.38
  4. Step 4: Simplify right side
    9,398.22x = 67,521,073.65
  5. Step 5: Solve for x
    x = 67,521,073.65/9,398.22
  6. Step 6: Final answer
    x = 7,184.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.