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Finding the Fourth Proportional to 9,221.98, 13,833.06 and 2,296.48

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Solution

The fourth proportional to 9,221.98, 13,833.06 and 2,296.48 is: 3,444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.98 : 13,833.06 = 2,296.48 : x
  2. Step 2: Convert to fraction form
    9,221.98/13,833.06 = 2,296.48/x
  3. Step 3: Cross multiply
    9,221.98x = 13,833.06 × 2,296.48
  4. Step 4: Simplify right side
    9,221.98x = 31,767,345.63
  5. Step 5: Solve for x
    x = 31,767,345.63/9,221.98
  6. Step 6: Final answer
    x = 3,444.74

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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.