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Finding the Fourth Proportional to 6,998.16, 9,649.08 and 5,671.92

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Solution

The fourth proportional to 6,998.16, 9,649.08 and 5,671.92 is: 7,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.16 : 9,649.08 = 5,671.92 : x
  2. Step 2: Convert to fraction form
    6,998.16/9,649.08 = 5,671.92/x
  3. Step 3: Cross multiply
    6,998.16x = 9,649.08 × 5,671.92
  4. Step 4: Simplify right side
    6,998.16x = 54,728,809.83
  5. Step 5: Solve for x
    x = 54,728,809.83/6,998.16
  6. Step 6: Final answer
    x = 7,820.46

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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.