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Finding the Fourth Proportional to 9,239.72, 13,865.04 and 4,797.68

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Solution

The fourth proportional to 9,239.72, 13,865.04 and 4,797.68 is: 7,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.72 : 13,865.04 = 4,797.68 : x
  2. Step 2: Convert to fraction form
    9,239.72/13,865.04 = 4,797.68/x
  3. Step 3: Cross multiply
    9,239.72x = 13,865.04 × 4,797.68
  4. Step 4: Simplify right side
    9,239.72x = 66,519,955.78
  5. Step 5: Solve for x
    x = 66,519,955.78/9,239.72
  6. Step 6: Final answer
    x = 7,199.35

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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.