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Finding the Fourth Proportional to 6,244.64, 9,360.84 and 5,077

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Solution

The fourth proportional to 6,244.64, 9,360.84 and 5,077 is: 7,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.64 : 9,360.84 = 5,077 : x
  2. Step 2: Convert to fraction form
    6,244.64/9,360.84 = 5,077/x
  3. Step 3: Cross multiply
    6,244.64x = 9,360.84 × 5,077
  4. Step 4: Simplify right side
    6,244.64x = 47,524,984.68
  5. Step 5: Solve for x
    x = 47,524,984.68/6,244.64
  6. Step 6: Final answer
    x = 7,610.52

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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.