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Finding the Fourth Proportional to 6,905.83, 9,530.16 and 3,921.75

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Solution

The fourth proportional to 6,905.83, 9,530.16 and 3,921.75 is: 5,412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.83 : 9,530.16 = 3,921.75 : x
  2. Step 2: Convert to fraction form
    6,905.83/9,530.16 = 3,921.75/x
  3. Step 3: Cross multiply
    6,905.83x = 9,530.16 × 3,921.75
  4. Step 4: Simplify right side
    6,905.83x = 37,374,904.98
  5. Step 5: Solve for x
    x = 37,374,904.98/6,905.83
  6. Step 6: Final answer
    x = 5,412.08

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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.