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Finding the Fourth Proportional to 9,297.85, 13,943.81 and 3,056.42

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Solution

The fourth proportional to 9,297.85, 13,943.81 and 3,056.42 is: 4,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.85 : 13,943.81 = 3,056.42 : x
  2. Step 2: Convert to fraction form
    9,297.85/13,943.81 = 3,056.42/x
  3. Step 3: Cross multiply
    9,297.85x = 13,943.81 × 3,056.42
  4. Step 4: Simplify right side
    9,297.85x = 42,618,054.76
  5. Step 5: Solve for x
    x = 42,618,054.76/9,297.85
  6. Step 6: Final answer
    x = 4,583.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.