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Finding the Fourth Proportional to 6,696.44, 9,230.84 and 4,701.40

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Solution

The fourth proportional to 6,696.44, 9,230.84 and 4,701.40 is: 6,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.44 : 9,230.84 = 4,701.40 : x
  2. Step 2: Convert to fraction form
    6,696.44/9,230.84 = 4,701.40/x
  3. Step 3: Cross multiply
    6,696.44x = 9,230.84 × 4,701.40
  4. Step 4: Simplify right side
    6,696.44x = 43,397,871.18
  5. Step 5: Solve for x
    x = 43,397,871.18/6,696.44
  6. Step 6: Final answer
    x = 6,480.74

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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.