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Finding the Fourth Proportional to 6,769.32, 9,341.64 and 3,785.16

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Solution

The fourth proportional to 6,769.32, 9,341.64 and 3,785.16 is: 5,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.32 : 9,341.64 = 3,785.16 : x
  2. Step 2: Convert to fraction form
    6,769.32/9,341.64 = 3,785.16/x
  3. Step 3: Cross multiply
    6,769.32x = 9,341.64 × 3,785.16
  4. Step 4: Simplify right side
    6,769.32x = 35,359,602.06
  5. Step 5: Solve for x
    x = 35,359,602.06/6,769.32
  6. Step 6: Final answer
    x = 5,223.51

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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.