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Finding the Fourth Proportional to 9,297.81, 13,946.04 and 3,057.75

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Solution

The fourth proportional to 9,297.81, 13,946.04 and 3,057.75 is: 4,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.81 : 13,946.04 = 3,057.75 : x
  2. Step 2: Convert to fraction form
    9,297.81/13,946.04 = 3,057.75/x
  3. Step 3: Cross multiply
    9,297.81x = 13,946.04 × 3,057.75
  4. Step 4: Simplify right side
    9,297.81x = 42,643,503.81
  5. Step 5: Solve for x
    x = 42,643,503.81/9,297.81
  6. Step 6: Final answer
    x = 4,586.40

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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.