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Finding the Fourth Proportional to 6,291.46, 9,436.47 and 2,131.48

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Solution

The fourth proportional to 6,291.46, 9,436.47 and 2,131.48 is: 3,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.46 : 9,436.47 = 2,131.48 : x
  2. Step 2: Convert to fraction form
    6,291.46/9,436.47 = 2,131.48/x
  3. Step 3: Cross multiply
    6,291.46x = 9,436.47 × 2,131.48
  4. Step 4: Simplify right side
    6,291.46x = 20,113,647.08
  5. Step 5: Solve for x
    x = 20,113,647.08/6,291.46
  6. Step 6: Final answer
    x = 3,196.98

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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.