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Finding the Fourth Proportional to 6,431.66, 8,873.71 and 4,192.72

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Solution

The fourth proportional to 6,431.66, 8,873.71 and 4,192.72 is: 5,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.66 : 8,873.71 = 4,192.72 : x
  2. Step 2: Convert to fraction form
    6,431.66/8,873.71 = 4,192.72/x
  3. Step 3: Cross multiply
    6,431.66x = 8,873.71 × 4,192.72
  4. Step 4: Simplify right side
    6,431.66x = 37,204,981.39
  5. Step 5: Solve for x
    x = 37,204,981.39/6,431.66
  6. Step 6: Final answer
    x = 5,784.66

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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.