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Finding the Fourth Proportional to 9,167.42, 13,748.36 and 4,782.48

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Solution

The fourth proportional to 9,167.42, 13,748.36 and 4,782.48 is: 7,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.42 : 13,748.36 = 4,782.48 : x
  2. Step 2: Convert to fraction form
    9,167.42/13,748.36 = 4,782.48/x
  3. Step 3: Cross multiply
    9,167.42x = 13,748.36 × 4,782.48
  4. Step 4: Simplify right side
    9,167.42x = 65,751,256.73
  5. Step 5: Solve for x
    x = 65,751,256.73/9,167.42
  6. Step 6: Final answer
    x = 7,172.28

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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.