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Finding the Fourth Proportional to 6,494.72, 9,727.44 and 4,555.60

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Solution

The fourth proportional to 6,494.72, 9,727.44 and 4,555.60 is: 6,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.72 : 9,727.44 = 4,555.60 : x
  2. Step 2: Convert to fraction form
    6,494.72/9,727.44 = 4,555.60/x
  3. Step 3: Cross multiply
    6,494.72x = 9,727.44 × 4,555.60
  4. Step 4: Simplify right side
    6,494.72x = 44,314,325.66
  5. Step 5: Solve for x
    x = 44,314,325.66/6,494.72
  6. Step 6: Final answer
    x = 6,823.13

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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.