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Finding the Fourth Proportional to 9,071.47, 13,608.51 and 3,226.69

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Solution

The fourth proportional to 9,071.47, 13,608.51 and 3,226.69 is: 4,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,071.47 : 13,608.51 = 3,226.69 : x
  2. Step 2: Convert to fraction form
    9,071.47/13,608.51 = 3,226.69/x
  3. Step 3: Cross multiply
    9,071.47x = 13,608.51 × 3,226.69
  4. Step 4: Simplify right side
    9,071.47x = 43,910,443.13
  5. Step 5: Solve for x
    x = 43,910,443.13/9,071.47
  6. Step 6: Final answer
    x = 4,840.50

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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.