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Finding the Fourth Proportional to 6,010.98, 9,014.64 and 2,114.46

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Solution

The fourth proportional to 6,010.98, 9,014.64 and 2,114.46 is: 3,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010.98 : 9,014.64 = 2,114.46 : x
  2. Step 2: Convert to fraction form
    6,010.98/9,014.64 = 2,114.46/x
  3. Step 3: Cross multiply
    6,010.98x = 9,014.64 × 2,114.46
  4. Step 4: Simplify right side
    6,010.98x = 19,061,095.69
  5. Step 5: Solve for x
    x = 19,061,095.69/6,010.98
  6. Step 6: Final answer
    x = 3,171.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.