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Finding the Fourth Proportional to 6,074.01, 9,115.47 and 4,690.80

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Solution

The fourth proportional to 6,074.01, 9,115.47 and 4,690.80 is: 7,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.01 : 9,115.47 = 4,690.80 : x
  2. Step 2: Convert to fraction form
    6,074.01/9,115.47 = 4,690.80/x
  3. Step 3: Cross multiply
    6,074.01x = 9,115.47 × 4,690.80
  4. Step 4: Simplify right side
    6,074.01x = 42,758,846.68
  5. Step 5: Solve for x
    x = 42,758,846.68/6,074.01
  6. Step 6: Final answer
    x = 7,039.64

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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.