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Finding the Fourth Proportional to 6,696.80, 9,242.88 and 3,866.01

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Solution

The fourth proportional to 6,696.80, 9,242.88 and 3,866.01 is: 5,335.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.80 : 9,242.88 = 3,866.01 : x
  2. Step 2: Convert to fraction form
    6,696.80/9,242.88 = 3,866.01/x
  3. Step 3: Cross multiply
    6,696.80x = 9,242.88 × 3,866.01
  4. Step 4: Simplify right side
    6,696.80x = 35,733,066.51
  5. Step 5: Solve for x
    x = 35,733,066.51/6,696.80
  6. Step 6: Final answer
    x = 5,335.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.