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Finding the Fourth Proportional to 6,898.06, 9,519.33 and 4,103.56

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Solution

The fourth proportional to 6,898.06, 9,519.33 and 4,103.56 is: 5,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.06 : 9,519.33 = 4,103.56 : x
  2. Step 2: Convert to fraction form
    6,898.06/9,519.33 = 4,103.56/x
  3. Step 3: Cross multiply
    6,898.06x = 9,519.33 × 4,103.56
  4. Step 4: Simplify right side
    6,898.06x = 39,063,141.81
  5. Step 5: Solve for x
    x = 39,063,141.81/6,898.06
  6. Step 6: Final answer
    x = 5,662.92

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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.