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Finding the Fourth Proportional to 6,293.16, 9,431.10 and 3,980.52

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Solution

The fourth proportional to 6,293.16, 9,431.10 and 3,980.52 is: 5,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.16 : 9,431.10 = 3,980.52 : x
  2. Step 2: Convert to fraction form
    6,293.16/9,431.10 = 3,980.52/x
  3. Step 3: Cross multiply
    6,293.16x = 9,431.10 × 3,980.52
  4. Step 4: Simplify right side
    6,293.16x = 37,540,682.17
  5. Step 5: Solve for x
    x = 37,540,682.17/6,293.16
  6. Step 6: Final answer
    x = 5,965.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.