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Finding the Fourth Proportional to 6,896.62, 9,513.30 and 5,005.99

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Solution

The fourth proportional to 6,896.62, 9,513.30 and 5,005.99 is: 6,905.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.62 : 9,513.30 = 5,005.99 : x
  2. Step 2: Convert to fraction form
    6,896.62/9,513.30 = 5,005.99/x
  3. Step 3: Cross multiply
    6,896.62x = 9,513.30 × 5,005.99
  4. Step 4: Simplify right side
    6,896.62x = 47,623,484.67
  5. Step 5: Solve for x
    x = 47,623,484.67/6,896.62
  6. Step 6: Final answer
    x = 6,905.34

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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.