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Finding the Fourth Proportional to 6,309.52, 9,469.32 and 3,714.64

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Solution

The fourth proportional to 6,309.52, 9,469.32 and 3,714.64 is: 5,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.52 : 9,469.32 = 3,714.64 : x
  2. Step 2: Convert to fraction form
    6,309.52/9,469.32 = 3,714.64/x
  3. Step 3: Cross multiply
    6,309.52x = 9,469.32 × 3,714.64
  4. Step 4: Simplify right side
    6,309.52x = 35,175,114.84
  5. Step 5: Solve for x
    x = 35,175,114.84/6,309.52
  6. Step 6: Final answer
    x = 5,574.93

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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.