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Finding the Fourth Proportional to 6,672.42, 9,208.32 and 3,688.38

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Solution

The fourth proportional to 6,672.42, 9,208.32 and 3,688.38 is: 5,090.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,672.42 : 9,208.32 = 3,688.38 : x
  2. Step 2: Convert to fraction form
    6,672.42/9,208.32 = 3,688.38/x
  3. Step 3: Cross multiply
    6,672.42x = 9,208.32 × 3,688.38
  4. Step 4: Simplify right side
    6,672.42x = 33,963,783.32
  5. Step 5: Solve for x
    x = 33,963,783.32/6,672.42
  6. Step 6: Final answer
    x = 5,090.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.