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Finding the Fourth Proportional to 6,344.99, 9,518.13 and 2,184.45

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Solution

The fourth proportional to 6,344.99, 9,518.13 and 2,184.45 is: 3,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.99 : 9,518.13 = 2,184.45 : x
  2. Step 2: Convert to fraction form
    6,344.99/9,518.13 = 2,184.45/x
  3. Step 3: Cross multiply
    6,344.99x = 9,518.13 × 2,184.45
  4. Step 4: Simplify right side
    6,344.99x = 20,791,870.89
  5. Step 5: Solve for x
    x = 20,791,870.89/6,344.99
  6. Step 6: Final answer
    x = 3,276.89

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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.