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Finding the Fourth Proportional to 6,466.16, 8,923.32 and 4,226.66

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Solution

The fourth proportional to 6,466.16, 8,923.32 and 4,226.66 is: 5,832.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.16 : 8,923.32 = 4,226.66 : x
  2. Step 2: Convert to fraction form
    6,466.16/8,923.32 = 4,226.66/x
  3. Step 3: Cross multiply
    6,466.16x = 8,923.32 × 4,226.66
  4. Step 4: Simplify right side
    6,466.16x = 37,715,839.71
  5. Step 5: Solve for x
    x = 37,715,839.71/6,466.16
  6. Step 6: Final answer
    x = 5,832.80

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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.