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Finding the Fourth Proportional to 9,774.43, 14,662.25 and 3,931.04

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Solution

The fourth proportional to 9,774.43, 14,662.25 and 3,931.04 is: 5,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.43 : 14,662.25 = 3,931.04 : x
  2. Step 2: Convert to fraction form
    9,774.43/14,662.25 = 3,931.04/x
  3. Step 3: Cross multiply
    9,774.43x = 14,662.25 × 3,931.04
  4. Step 4: Simplify right side
    9,774.43x = 57,637,891.24
  5. Step 5: Solve for x
    x = 57,637,891.24/9,774.43
  6. Step 6: Final answer
    x = 5,896.80

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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.