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Finding the Fourth Proportional to 6,218.04, 9,328.14 and 3,140.04

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Solution

The fourth proportional to 6,218.04, 9,328.14 and 3,140.04 is: 4,710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.04 : 9,328.14 = 3,140.04 : x
  2. Step 2: Convert to fraction form
    6,218.04/9,328.14 = 3,140.04/x
  3. Step 3: Cross multiply
    6,218.04x = 9,328.14 × 3,140.04
  4. Step 4: Simplify right side
    6,218.04x = 29,290,732.73
  5. Step 5: Solve for x
    x = 29,290,732.73/6,218.04
  6. Step 6: Final answer
    x = 4,710.61

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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.