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Finding the Fourth Proportional to 6,215.78, 9,323.66 and 4,262.06

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Solution

The fourth proportional to 6,215.78, 9,323.66 and 4,262.06 is: 6,393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,215.78 : 9,323.66 = 4,262.06 : x
  2. Step 2: Convert to fraction form
    6,215.78/9,323.66 = 4,262.06/x
  3. Step 3: Cross multiply
    6,215.78x = 9,323.66 × 4,262.06
  4. Step 4: Simplify right side
    6,215.78x = 39,737,930.41
  5. Step 5: Solve for x
    x = 39,737,930.41/6,215.78
  6. Step 6: Final answer
    x = 6,393.08

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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.