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Finding the Fourth Proportional to 9,978.22, 14,967.23 and 3,822.22

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Solution

The fourth proportional to 9,978.22, 14,967.23 and 3,822.22 is: 5,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,978.22 : 14,967.23 = 3,822.22 : x
  2. Step 2: Convert to fraction form
    9,978.22/14,967.23 = 3,822.22/x
  3. Step 3: Cross multiply
    9,978.22x = 14,967.23 × 3,822.22
  4. Step 4: Simplify right side
    9,978.22x = 57,207,971.01
  5. Step 5: Solve for x
    x = 57,207,971.01/9,978.22
  6. Step 6: Final answer
    x = 5,733.29

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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.