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Finding the Fourth Proportional to 6,314.76, 9,453.24 and 4,555.80

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Solution

The fourth proportional to 6,314.76, 9,453.24 and 4,555.80 is: 6,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.76 : 9,453.24 = 4,555.80 : x
  2. Step 2: Convert to fraction form
    6,314.76/9,453.24 = 4,555.80/x
  3. Step 3: Cross multiply
    6,314.76x = 9,453.24 × 4,555.80
  4. Step 4: Simplify right side
    6,314.76x = 43,067,070.79
  5. Step 5: Solve for x
    x = 43,067,070.79/6,314.76
  6. Step 6: Final answer
    x = 6,820.06

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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.