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Finding the Fourth Proportional to 6,460.81, 8,915.93 and 4,226.47

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Solution

The fourth proportional to 6,460.81, 8,915.93 and 4,226.47 is: 5,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.81 : 8,915.93 = 4,226.47 : x
  2. Step 2: Convert to fraction form
    6,460.81/8,915.93 = 4,226.47/x
  3. Step 3: Cross multiply
    6,460.81x = 8,915.93 × 4,226.47
  4. Step 4: Simplify right side
    6,460.81x = 37,682,910.67
  5. Step 5: Solve for x
    x = 37,682,910.67/6,460.81
  6. Step 6: Final answer
    x = 5,832.54

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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.