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Finding the Fourth Proportional to 6,808.96, 9,398.16 and 4,016.32

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Solution

The fourth proportional to 6,808.96, 9,398.16 and 4,016.32 is: 5,543.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.96 : 9,398.16 = 4,016.32 : x
  2. Step 2: Convert to fraction form
    6,808.96/9,398.16 = 4,016.32/x
  3. Step 3: Cross multiply
    6,808.96x = 9,398.16 × 4,016.32
  4. Step 4: Simplify right side
    6,808.96x = 37,746,017.97
  5. Step 5: Solve for x
    x = 37,746,017.97/6,808.96
  6. Step 6: Final answer
    x = 5,543.58

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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.