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Finding the Fourth Proportional to 9,001.56, 12,422.07 and 4,968.43

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Solution

The fourth proportional to 9,001.56, 12,422.07 and 4,968.43 is: 6,856.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.56 : 12,422.07 = 4,968.43 : x
  2. Step 2: Convert to fraction form
    9,001.56/12,422.07 = 4,968.43/x
  3. Step 3: Cross multiply
    9,001.56x = 12,422.07 × 4,968.43
  4. Step 4: Simplify right side
    9,001.56x = 61,718,185.25
  5. Step 5: Solve for x
    x = 61,718,185.25/9,001.56
  6. Step 6: Final answer
    x = 6,856.39

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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.