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Finding the Fourth Proportional to 6,997.06, 9,657.84 and 4,014.46

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Solution

The fourth proportional to 6,997.06, 9,657.84 and 4,014.46 is: 5,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.06 : 9,657.84 = 4,014.46 : x
  2. Step 2: Convert to fraction form
    6,997.06/9,657.84 = 4,014.46/x
  3. Step 3: Cross multiply
    6,997.06x = 9,657.84 × 4,014.46
  4. Step 4: Simplify right side
    6,997.06x = 38,771,012.37
  5. Step 5: Solve for x
    x = 38,771,012.37/6,997.06
  6. Step 6: Final answer
    x = 5,541.04

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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.