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Finding the Fourth Proportional to 6,803.49, 9,390.77 and 4,114.71

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Solution

The fourth proportional to 6,803.49, 9,390.77 and 4,114.71 is: 5,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.49 : 9,390.77 = 4,114.71 : x
  2. Step 2: Convert to fraction form
    6,803.49/9,390.77 = 4,114.71/x
  3. Step 3: Cross multiply
    6,803.49x = 9,390.77 × 4,114.71
  4. Step 4: Simplify right side
    6,803.49x = 38,640,305.51
  5. Step 5: Solve for x
    x = 38,640,305.51/6,803.49
  6. Step 6: Final answer
    x = 5,679.48

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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.