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Finding the Fourth Proportional to 6,329.77, 9,492.01 and 2,168.93

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Solution

The fourth proportional to 6,329.77, 9,492.01 and 2,168.93 is: 3,252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.77 : 9,492.01 = 2,168.93 : x
  2. Step 2: Convert to fraction form
    6,329.77/9,492.01 = 2,168.93/x
  3. Step 3: Cross multiply
    6,329.77x = 9,492.01 × 2,168.93
  4. Step 4: Simplify right side
    6,329.77x = 20,587,505.25
  5. Step 5: Solve for x
    x = 20,587,505.25/6,329.77
  6. Step 6: Final answer
    x = 3,252.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.