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Finding the Fourth Proportional to 6,236.95, 9,347.30 and 2,534.86

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Solution

The fourth proportional to 6,236.95, 9,347.30 and 2,534.86 is: 3,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.95 : 9,347.30 = 2,534.86 : x
  2. Step 2: Convert to fraction form
    6,236.95/9,347.30 = 2,534.86/x
  3. Step 3: Cross multiply
    6,236.95x = 9,347.30 × 2,534.86
  4. Step 4: Simplify right side
    6,236.95x = 23,694,050.14
  5. Step 5: Solve for x
    x = 23,694,050.14/6,236.95
  6. Step 6: Final answer
    x = 3,798.98

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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.