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Finding the Fourth Proportional to 6,357.65, 8,771.46 and 3,838.81

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Solution

The fourth proportional to 6,357.65, 8,771.46 and 3,838.81 is: 5,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.65 : 8,771.46 = 3,838.81 : x
  2. Step 2: Convert to fraction form
    6,357.65/8,771.46 = 3,838.81/x
  3. Step 3: Cross multiply
    6,357.65x = 8,771.46 × 3,838.81
  4. Step 4: Simplify right side
    6,357.65x = 33,671,968.36
  5. Step 5: Solve for x
    x = 33,671,968.36/6,357.65
  6. Step 6: Final answer
    x = 5,296.29

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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.