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Finding the Fourth Proportional to 9,600.04, 13,233.54 and 7,500.52

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Solution

The fourth proportional to 9,600.04, 13,233.54 and 7,500.52 is: 10,339.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.04 : 13,233.54 = 7,500.52 : x
  2. Step 2: Convert to fraction form
    9,600.04/13,233.54 = 7,500.52/x
  3. Step 3: Cross multiply
    9,600.04x = 13,233.54 × 7,500.52
  4. Step 4: Simplify right side
    9,600.04x = 99,258,431.44
  5. Step 5: Solve for x
    x = 99,258,431.44/9,600.04
  6. Step 6: Final answer
    x = 10,339.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.