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Finding the Fourth Proportional to 6,901.02, 9,523.70 and 3,917.14

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Solution

The fourth proportional to 6,901.02, 9,523.70 and 3,917.14 is: 5,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.02 : 9,523.70 = 3,917.14 : x
  2. Step 2: Convert to fraction form
    6,901.02/9,523.70 = 3,917.14/x
  3. Step 3: Cross multiply
    6,901.02x = 9,523.70 × 3,917.14
  4. Step 4: Simplify right side
    6,901.02x = 37,305,637.51
  5. Step 5: Solve for x
    x = 37,305,637.51/6,901.02
  6. Step 6: Final answer
    x = 5,405.82

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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.