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Finding the Fourth Proportional to 6,994.54, 9,652.77 and 4,010.66

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Solution

The fourth proportional to 6,994.54, 9,652.77 and 4,010.66 is: 5,534.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.54 : 9,652.77 = 4,010.66 : x
  2. Step 2: Convert to fraction form
    6,994.54/9,652.77 = 4,010.66/x
  3. Step 3: Cross multiply
    6,994.54x = 9,652.77 × 4,010.66
  4. Step 4: Simplify right side
    6,994.54x = 38,713,910.21
  5. Step 5: Solve for x
    x = 38,713,910.21/6,994.54
  6. Step 6: Final answer
    x = 5,534.88

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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.