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Finding the Fourth Proportional to 6,820.25, 9,412.35 and 4,168.31

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Solution

The fourth proportional to 6,820.25, 9,412.35 and 4,168.31 is: 5,752.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.25 : 9,412.35 = 4,168.31 : x
  2. Step 2: Convert to fraction form
    6,820.25/9,412.35 = 4,168.31/x
  3. Step 3: Cross multiply
    6,820.25x = 9,412.35 × 4,168.31
  4. Step 4: Simplify right side
    6,820.25x = 39,233,592.63
  5. Step 5: Solve for x
    x = 39,233,592.63/6,820.25
  6. Step 6: Final answer
    x = 5,752.52

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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.