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Finding the Fourth Proportional to 6,235.96, 9,346.12 and 3,116.84

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Solution

The fourth proportional to 6,235.96, 9,346.12 and 3,116.84 is: 4,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.96 : 9,346.12 = 3,116.84 : x
  2. Step 2: Convert to fraction form
    6,235.96/9,346.12 = 3,116.84/x
  3. Step 3: Cross multiply
    6,235.96x = 9,346.12 × 3,116.84
  4. Step 4: Simplify right side
    6,235.96x = 29,130,360.66
  5. Step 5: Solve for x
    x = 29,130,360.66/6,235.96
  6. Step 6: Final answer
    x = 4,671.35

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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.