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Finding the Fourth Proportional to 6,506.96, 8,976.28 and 3,954.02

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Solution

The fourth proportional to 6,506.96, 8,976.28 and 3,954.02 is: 5,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.96 : 8,976.28 = 3,954.02 : x
  2. Step 2: Convert to fraction form
    6,506.96/8,976.28 = 3,954.02/x
  3. Step 3: Cross multiply
    6,506.96x = 8,976.28 × 3,954.02
  4. Step 4: Simplify right side
    6,506.96x = 35,492,390.65
  5. Step 5: Solve for x
    x = 35,492,390.65/6,506.96
  6. Step 6: Final answer
    x = 5,454.53

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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.