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Finding the Fourth Proportional to 6,457.52, 9,685.37 and 2,074.41

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Solution

The fourth proportional to 6,457.52, 9,685.37 and 2,074.41 is: 3,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.52 : 9,685.37 = 2,074.41 : x
  2. Step 2: Convert to fraction form
    6,457.52/9,685.37 = 2,074.41/x
  3. Step 3: Cross multiply
    6,457.52x = 9,685.37 × 2,074.41
  4. Step 4: Simplify right side
    6,457.52x = 20,091,418.01
  5. Step 5: Solve for x
    x = 20,091,418.01/6,457.52
  6. Step 6: Final answer
    x = 3,111.32

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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.