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Finding the Fourth Proportional to 6,314.09, 8,713.47 and 3,663.06

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Solution

The fourth proportional to 6,314.09, 8,713.47 and 3,663.06 is: 5,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.09 : 8,713.47 = 3,663.06 : x
  2. Step 2: Convert to fraction form
    6,314.09/8,713.47 = 3,663.06/x
  3. Step 3: Cross multiply
    6,314.09x = 8,713.47 × 3,663.06
  4. Step 4: Simplify right side
    6,314.09x = 31,917,963.42
  5. Step 5: Solve for x
    x = 31,917,963.42/6,314.09
  6. Step 6: Final answer
    x = 5,055.04

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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.