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Finding the Fourth Proportional to 6,998.08, 9,656.94 and 4,013.20

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Solution

The fourth proportional to 6,998.08, 9,656.94 and 4,013.20 is: 5,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.08 : 9,656.94 = 4,013.20 : x
  2. Step 2: Convert to fraction form
    6,998.08/9,656.94 = 4,013.20/x
  3. Step 3: Cross multiply
    6,998.08x = 9,656.94 × 4,013.20
  4. Step 4: Simplify right side
    6,998.08x = 38,755,231.61
  5. Step 5: Solve for x
    x = 38,755,231.61/6,998.08
  6. Step 6: Final answer
    x = 5,537.98

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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.