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Finding the Fourth Proportional to 9,085.76, 12,573.79 and 8,867.24

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Solution

The fourth proportional to 9,085.76, 12,573.79 and 8,867.24 is: 12,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.76 : 12,573.79 = 8,867.24 : x
  2. Step 2: Convert to fraction form
    9,085.76/12,573.79 = 8,867.24/x
  3. Step 3: Cross multiply
    9,085.76x = 12,573.79 × 8,867.24
  4. Step 4: Simplify right side
    9,085.76x = 111,494,728.60
  5. Step 5: Solve for x
    x = 111,494,728.60/9,085.76
  6. Step 6: Final answer
    x = 12,271.38

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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.