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Finding the Fourth Proportional to 6,896.61, 9,514.40 and 4,102.11

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Solution

The fourth proportional to 6,896.61, 9,514.40 and 4,102.11 is: 5,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.61 : 9,514.40 = 4,102.11 : x
  2. Step 2: Convert to fraction form
    6,896.61/9,514.40 = 4,102.11/x
  3. Step 3: Cross multiply
    6,896.61x = 9,514.40 × 4,102.11
  4. Step 4: Simplify right side
    6,896.61x = 39,029,094.87
  5. Step 5: Solve for x
    x = 39,029,094.87/6,896.61
  6. Step 6: Final answer
    x = 5,659.17

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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.