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Finding the Fourth Proportional to 6,785.25, 9,364.03 and 3,802.05

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Solution

The fourth proportional to 6,785.25, 9,364.03 and 3,802.05 is: 5,247.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.25 : 9,364.03 = 3,802.05 : x
  2. Step 2: Convert to fraction form
    6,785.25/9,364.03 = 3,802.05/x
  3. Step 3: Cross multiply
    6,785.25x = 9,364.03 × 3,802.05
  4. Step 4: Simplify right side
    6,785.25x = 35,602,507.02
  5. Step 5: Solve for x
    x = 35,602,507.02/6,785.25
  6. Step 6: Final answer
    x = 5,247.04

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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.