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Finding the Fourth Proportional to 6,999.02, 9,657.64 and 4,014.98

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Solution

The fourth proportional to 6,999.02, 9,657.64 and 4,014.98 is: 5,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.02 : 9,657.64 = 4,014.98 : x
  2. Step 2: Convert to fraction form
    6,999.02/9,657.64 = 4,014.98/x
  3. Step 3: Cross multiply
    6,999.02x = 9,657.64 × 4,014.98
  4. Step 4: Simplify right side
    6,999.02x = 38,775,231.45
  5. Step 5: Solve for x
    x = 38,775,231.45/6,999.02
  6. Step 6: Final answer
    x = 5,540.09

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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.