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Finding the Fourth Proportional to 9,188.18, 13,769.97 and 4,501.02

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Solution

The fourth proportional to 9,188.18, 13,769.97 and 4,501.02 is: 6,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.18 : 13,769.97 = 4,501.02 : x
  2. Step 2: Convert to fraction form
    9,188.18/13,769.97 = 4,501.02/x
  3. Step 3: Cross multiply
    9,188.18x = 13,769.97 × 4,501.02
  4. Step 4: Simplify right side
    9,188.18x = 61,978,841.52
  5. Step 5: Solve for x
    x = 61,978,841.52/9,188.18
  6. Step 6: Final answer
    x = 6,745.50

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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.