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Finding the Fourth Proportional to 6,272.72, 9,411.50 and 3,809.32

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Solution

The fourth proportional to 6,272.72, 9,411.50 and 3,809.32 is: 5,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.72 : 9,411.50 = 3,809.32 : x
  2. Step 2: Convert to fraction form
    6,272.72/9,411.50 = 3,809.32/x
  3. Step 3: Cross multiply
    6,272.72x = 9,411.50 × 3,809.32
  4. Step 4: Simplify right side
    6,272.72x = 35,851,415.18
  5. Step 5: Solve for x
    x = 35,851,415.18/6,272.72
  6. Step 6: Final answer
    x = 5,715.45

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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.