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Finding the Fourth Proportional to 9,722.88, 14,574.24 and 8,867.52

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Solution

The fourth proportional to 9,722.88, 14,574.24 and 8,867.52 is: 13,292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.88 : 14,574.24 = 8,867.52 : x
  2. Step 2: Convert to fraction form
    9,722.88/14,574.24 = 8,867.52/x
  3. Step 3: Cross multiply
    9,722.88x = 14,574.24 × 8,867.52
  4. Step 4: Simplify right side
    9,722.88x = 129,237,364.68
  5. Step 5: Solve for x
    x = 129,237,364.68/9,722.88
  6. Step 6: Final answer
    x = 13,292.09

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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.