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Finding the Fourth Proportional to 9,122.55, 13,663.07 and 6,351.30

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Solution

The fourth proportional to 9,122.55, 13,663.07 and 6,351.30 is: 9,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.55 : 13,663.07 = 6,351.30 : x
  2. Step 2: Convert to fraction form
    9,122.55/13,663.07 = 6,351.30/x
  3. Step 3: Cross multiply
    9,122.55x = 13,663.07 × 6,351.30
  4. Step 4: Simplify right side
    9,122.55x = 86,778,224.73
  5. Step 5: Solve for x
    x = 86,778,224.73/9,122.55
  6. Step 6: Final answer
    x = 9,512.50

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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.