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Finding the Fourth Proportional to 6,242.82, 9,364.59 and 2,347.26

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Solution

The fourth proportional to 6,242.82, 9,364.59 and 2,347.26 is: 3,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.82 : 9,364.59 = 2,347.26 : x
  2. Step 2: Convert to fraction form
    6,242.82/9,364.59 = 2,347.26/x
  3. Step 3: Cross multiply
    6,242.82x = 9,364.59 × 2,347.26
  4. Step 4: Simplify right side
    6,242.82x = 21,981,127.52
  5. Step 5: Solve for x
    x = 21,981,127.52/6,242.82
  6. Step 6: Final answer
    x = 3,521.03

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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.