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Finding the Fourth Proportional to 9,046.66, 13,566.32 and 3,778.20

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Solution

The fourth proportional to 9,046.66, 13,566.32 and 3,778.20 is: 5,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.66 : 13,566.32 = 3,778.20 : x
  2. Step 2: Convert to fraction form
    9,046.66/13,566.32 = 3,778.20/x
  3. Step 3: Cross multiply
    9,046.66x = 13,566.32 × 3,778.20
  4. Step 4: Simplify right side
    9,046.66x = 51,256,270.22
  5. Step 5: Solve for x
    x = 51,256,270.22/9,046.66
  6. Step 6: Final answer
    x = 5,665.77

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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.