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Finding the Fourth Proportional to 6,457.24, 9,693.42 and 6,194.44

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Solution

The fourth proportional to 6,457.24, 9,693.42 and 6,194.44 is: 9,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.24 : 9,693.42 = 6,194.44 : x
  2. Step 2: Convert to fraction form
    6,457.24/9,693.42 = 6,194.44/x
  3. Step 3: Cross multiply
    6,457.24x = 9,693.42 × 6,194.44
  4. Step 4: Simplify right side
    6,457.24x = 60,045,308.58
  5. Step 5: Solve for x
    x = 60,045,308.58/6,457.24
  6. Step 6: Final answer
    x = 9,298.91

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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.