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Finding the Fourth Proportional to 6,872.50, 9,486.39 and 4,632.94

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Solution

The fourth proportional to 6,872.50, 9,486.39 and 4,632.94 is: 6,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.50 : 9,486.39 = 4,632.94 : x
  2. Step 2: Convert to fraction form
    6,872.50/9,486.39 = 4,632.94/x
  3. Step 3: Cross multiply
    6,872.50x = 9,486.39 × 4,632.94
  4. Step 4: Simplify right side
    6,872.50x = 43,949,875.69
  5. Step 5: Solve for x
    x = 43,949,875.69/6,872.50
  6. Step 6: Final answer
    x = 6,395.03

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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.