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Finding the Fourth Proportional to 6,802.13, 9,385.74 and 4,150.40

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Solution

The fourth proportional to 6,802.13, 9,385.74 and 4,150.40 is: 5,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.13 : 9,385.74 = 4,150.40 : x
  2. Step 2: Convert to fraction form
    6,802.13/9,385.74 = 4,150.40/x
  3. Step 3: Cross multiply
    6,802.13x = 9,385.74 × 4,150.40
  4. Step 4: Simplify right side
    6,802.13x = 38,954,528.37
  5. Step 5: Solve for x
    x = 38,954,528.37/6,802.13
  6. Step 6: Final answer
    x = 5,726.81

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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.