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Finding the Fourth Proportional to 6,301.53, 8,696.13 and 3,468.81

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Solution

The fourth proportional to 6,301.53, 8,696.13 and 3,468.81 is: 4,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.53 : 8,696.13 = 3,468.81 : x
  2. Step 2: Convert to fraction form
    6,301.53/8,696.13 = 3,468.81/x
  3. Step 3: Cross multiply
    6,301.53x = 8,696.13 × 3,468.81
  4. Step 4: Simplify right side
    6,301.53x = 30,165,222.71
  5. Step 5: Solve for x
    x = 30,165,222.71/6,301.53
  6. Step 6: Final answer
    x = 4,786.97

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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.