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Finding the Fourth Proportional to 9,902.26, 13,659.94 and 6,124.22

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Solution

The fourth proportional to 9,902.26, 13,659.94 and 6,124.22 is: 8,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.26 : 13,659.94 = 6,124.22 : x
  2. Step 2: Convert to fraction form
    9,902.26/13,659.94 = 6,124.22/x
  3. Step 3: Cross multiply
    9,902.26x = 13,659.94 × 6,124.22
  4. Step 4: Simplify right side
    9,902.26x = 83,656,477.75
  5. Step 5: Solve for x
    x = 83,656,477.75/9,902.26
  6. Step 6: Final answer
    x = 8,448.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.