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Finding the Fourth Proportional to 6,519.46, 9,777.98 and 1,838.32

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Solution

The fourth proportional to 6,519.46, 9,777.98 and 1,838.32 is: 2,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.46 : 9,777.98 = 1,838.32 : x
  2. Step 2: Convert to fraction form
    6,519.46/9,777.98 = 1,838.32/x
  3. Step 3: Cross multiply
    6,519.46x = 9,777.98 × 1,838.32
  4. Step 4: Simplify right side
    6,519.46x = 17,975,056.19
  5. Step 5: Solve for x
    x = 17,975,056.19/6,519.46
  6. Step 6: Final answer
    x = 2,757.14

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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.