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Finding the Fourth Proportional to 9,221.52, 13,837.14 and 4,021.32

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Solution

The fourth proportional to 9,221.52, 13,837.14 and 4,021.32 is: 6,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.52 : 13,837.14 = 4,021.32 : x
  2. Step 2: Convert to fraction form
    9,221.52/13,837.14 = 4,021.32/x
  3. Step 3: Cross multiply
    9,221.52x = 13,837.14 × 4,021.32
  4. Step 4: Simplify right side
    9,221.52x = 55,643,567.82
  5. Step 5: Solve for x
    x = 55,643,567.82/9,221.52
  6. Step 6: Final answer
    x = 6,034.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.