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Finding the Fourth Proportional to 6,929.61, 9,562.62 and 3,785.73

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Solution

The fourth proportional to 6,929.61, 9,562.62 and 3,785.73 is: 5,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.61 : 9,562.62 = 3,785.73 : x
  2. Step 2: Convert to fraction form
    6,929.61/9,562.62 = 3,785.73/x
  3. Step 3: Cross multiply
    6,929.61x = 9,562.62 × 3,785.73
  4. Step 4: Simplify right side
    6,929.61x = 36,201,497.41
  5. Step 5: Solve for x
    x = 36,201,497.41/6,929.61
  6. Step 6: Final answer
    x = 5,224.18

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Why These Related Problems?

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