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Finding the Fourth Proportional to 6,904.49, 9,527.85 and 3,919.93

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Solution

The fourth proportional to 6,904.49, 9,527.85 and 3,919.93 is: 5,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.49 : 9,527.85 = 3,919.93 : x
  2. Step 2: Convert to fraction form
    6,904.49/9,527.85 = 3,919.93/x
  3. Step 3: Cross multiply
    6,904.49x = 9,527.85 × 3,919.93
  4. Step 4: Simplify right side
    6,904.49x = 37,348,481.23
  5. Step 5: Solve for x
    x = 37,348,481.23/6,904.49
  6. Step 6: Final answer
    x = 5,409.31

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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.