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Finding the Fourth Proportional to 6,850.74, 9,457.74 and 4,751.22

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Solution

The fourth proportional to 6,850.74, 9,457.74 and 4,751.22 is: 6,559.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.74 : 9,457.74 = 4,751.22 : x
  2. Step 2: Convert to fraction form
    6,850.74/9,457.74 = 4,751.22/x
  3. Step 3: Cross multiply
    6,850.74x = 9,457.74 × 4,751.22
  4. Step 4: Simplify right side
    6,850.74x = 44,935,803.44
  5. Step 5: Solve for x
    x = 44,935,803.44/6,850.74
  6. Step 6: Final answer
    x = 6,559.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.