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Finding the Fourth Proportional to 6,366.81, 8,785.23 and 3,641.13

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Solution

The fourth proportional to 6,366.81, 8,785.23 and 3,641.13 is: 5,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.81 : 8,785.23 = 3,641.13 : x
  2. Step 2: Convert to fraction form
    6,366.81/8,785.23 = 3,641.13/x
  3. Step 3: Cross multiply
    6,366.81x = 8,785.23 × 3,641.13
  4. Step 4: Simplify right side
    6,366.81x = 31,988,164.51
  5. Step 5: Solve for x
    x = 31,988,164.51/6,366.81
  6. Step 6: Final answer
    x = 5,024.21

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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.