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Finding the Fourth Proportional to 6,901.47, 9,523.53 and 3,917.34

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Solution

The fourth proportional to 6,901.47, 9,523.53 and 3,917.34 is: 5,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.47 : 9,523.53 = 3,917.34 : x
  2. Step 2: Convert to fraction form
    6,901.47/9,523.53 = 3,917.34/x
  3. Step 3: Cross multiply
    6,901.47x = 9,523.53 × 3,917.34
  4. Step 4: Simplify right side
    6,901.47x = 37,306,905.01
  5. Step 5: Solve for x
    x = 37,306,905.01/6,901.47
  6. Step 6: Final answer
    x = 5,405.65

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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.