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Finding the Fourth Proportional to 6,820.39, 9,407.10 and 4,165.62

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Solution

The fourth proportional to 6,820.39, 9,407.10 and 4,165.62 is: 5,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.39 : 9,407.10 = 4,165.62 : x
  2. Step 2: Convert to fraction form
    6,820.39/9,407.10 = 4,165.62/x
  3. Step 3: Cross multiply
    6,820.39x = 9,407.10 × 4,165.62
  4. Step 4: Simplify right side
    6,820.39x = 39,186,403.90
  5. Step 5: Solve for x
    x = 39,186,403.90/6,820.39
  6. Step 6: Final answer
    x = 5,745.48

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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.