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Finding the Fourth Proportional to 6,901.07, 9,523.45 and 3,875.78

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Solution

The fourth proportional to 6,901.07, 9,523.45 and 3,875.78 is: 5,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.07 : 9,523.45 = 3,875.78 : x
  2. Step 2: Convert to fraction form
    6,901.07/9,523.45 = 3,875.78/x
  3. Step 3: Cross multiply
    6,901.07x = 9,523.45 × 3,875.78
  4. Step 4: Simplify right side
    6,901.07x = 36,910,739.73
  5. Step 5: Solve for x
    x = 36,910,739.73/6,901.07
  6. Step 6: Final answer
    x = 5,348.55

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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.