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Finding the Fourth Proportional to 9,531.54, 13,124.16 and 8,467.46

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Solution

The fourth proportional to 9,531.54, 13,124.16 and 8,467.46 is: 11,659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.54 : 13,124.16 = 8,467.46 : x
  2. Step 2: Convert to fraction form
    9,531.54/13,124.16 = 8,467.46/x
  3. Step 3: Cross multiply
    9,531.54x = 13,124.16 × 8,467.46
  4. Step 4: Simplify right side
    9,531.54x = 111,128,299.83
  5. Step 5: Solve for x
    x = 111,128,299.83/9,531.54
  6. Step 6: Final answer
    x = 11,659.01

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