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Finding the Fourth Proportional to 6,674.16, 9,209.76 and 4,156.56

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Solution

The fourth proportional to 6,674.16, 9,209.76 and 4,156.56 is: 5,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.16 : 9,209.76 = 4,156.56 : x
  2. Step 2: Convert to fraction form
    6,674.16/9,209.76 = 4,156.56/x
  3. Step 3: Cross multiply
    6,674.16x = 9,209.76 × 4,156.56
  4. Step 4: Simplify right side
    6,674.16x = 38,280,920.03
  5. Step 5: Solve for x
    x = 38,280,920.03/6,674.16
  6. Step 6: Final answer
    x = 5,735.69

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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.