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Finding the Fourth Proportional to 8,457.42, 12,642.87 and 6,245.58

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Solution

The fourth proportional to 8,457.42, 12,642.87 and 6,245.58 is: 9,336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.42 : 12,642.87 = 6,245.58 : x
  2. Step 2: Convert to fraction form
    8,457.42/12,642.87 = 6,245.58/x
  3. Step 3: Cross multiply
    8,457.42x = 12,642.87 × 6,245.58
  4. Step 4: Simplify right side
    8,457.42x = 78,962,056.01
  5. Step 5: Solve for x
    x = 78,962,056.01/8,457.42
  6. Step 6: Final answer
    x = 9,336.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.