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Finding the Fourth Proportional to 6,998.07, 9,657.32 and 3,854.26

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Solution

The fourth proportional to 6,998.07, 9,657.32 and 3,854.26 is: 5,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.07 : 9,657.32 = 3,854.26 : x
  2. Step 2: Convert to fraction form
    6,998.07/9,657.32 = 3,854.26/x
  3. Step 3: Cross multiply
    6,998.07x = 9,657.32 × 3,854.26
  4. Step 4: Simplify right side
    6,998.07x = 37,221,822.18
  5. Step 5: Solve for x
    x = 37,221,822.18/6,998.07
  6. Step 6: Final answer
    x = 5,318.87

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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.