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Finding the Fourth Proportional to 6,696.30, 9,241.56 and 5,014.74

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Solution

The fourth proportional to 6,696.30, 9,241.56 and 5,014.74 is: 6,920.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.30 : 9,241.56 = 5,014.74 : x
  2. Step 2: Convert to fraction form
    6,696.30/9,241.56 = 5,014.74/x
  3. Step 3: Cross multiply
    6,696.30x = 9,241.56 × 5,014.74
  4. Step 4: Simplify right side
    6,696.30x = 46,344,020.59
  5. Step 5: Solve for x
    x = 46,344,020.59/6,696.30
  6. Step 6: Final answer
    x = 6,920.84

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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.