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Finding the Fourth Proportional to 6,145.40, 9,218.10 and 3,678.95

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Solution

The fourth proportional to 6,145.40, 9,218.10 and 3,678.95 is: 5,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.40 : 9,218.10 = 3,678.95 : x
  2. Step 2: Convert to fraction form
    6,145.40/9,218.10 = 3,678.95/x
  3. Step 3: Cross multiply
    6,145.40x = 9,218.10 × 3,678.95
  4. Step 4: Simplify right side
    6,145.40x = 33,912,929.00
  5. Step 5: Solve for x
    x = 33,912,929.00/6,145.40
  6. Step 6: Final answer
    x = 5,518.43

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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.