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Finding the Fourth Proportional to 6,412.40, 8,846.52 and 4,917.68

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Solution

The fourth proportional to 6,412.40, 8,846.52 and 4,917.68 is: 6,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.40 : 8,846.52 = 4,917.68 : x
  2. Step 2: Convert to fraction form
    6,412.40/8,846.52 = 4,917.68/x
  3. Step 3: Cross multiply
    6,412.40x = 8,846.52 × 4,917.68
  4. Step 4: Simplify right side
    6,412.40x = 43,504,354.47
  5. Step 5: Solve for x
    x = 43,504,354.47/6,412.40
  6. Step 6: Final answer
    x = 6,784.41

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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.