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Finding the Fourth Proportional to 6,477.66, 8,936.46 and 3,824.10

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Solution

The fourth proportional to 6,477.66, 8,936.46 and 3,824.10 is: 5,275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.66 : 8,936.46 = 3,824.10 : x
  2. Step 2: Convert to fraction form
    6,477.66/8,936.46 = 3,824.10/x
  3. Step 3: Cross multiply
    6,477.66x = 8,936.46 × 3,824.10
  4. Step 4: Simplify right side
    6,477.66x = 34,173,916.69
  5. Step 5: Solve for x
    x = 34,173,916.69/6,477.66
  6. Step 6: Final answer
    x = 5,275.66

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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.