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Finding the Fourth Proportional to 6,014.76, 9,014.46 and 5,231.52

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Solution

The fourth proportional to 6,014.76, 9,014.46 and 5,231.52 is: 7,840.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.76 : 9,014.46 = 5,231.52 : x
  2. Step 2: Convert to fraction form
    6,014.76/9,014.46 = 5,231.52/x
  3. Step 3: Cross multiply
    6,014.76x = 9,014.46 × 5,231.52
  4. Step 4: Simplify right side
    6,014.76x = 47,159,327.78
  5. Step 5: Solve for x
    x = 47,159,327.78/6,014.76
  6. Step 6: Final answer
    x = 7,840.60

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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.