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Finding the Fourth Proportional to 9,733.77, 13,390.09 and 8,533.35

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Solution

The fourth proportional to 9,733.77, 13,390.09 and 8,533.35 is: 11,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.77 : 13,390.09 = 8,533.35 : x
  2. Step 2: Convert to fraction form
    9,733.77/13,390.09 = 8,533.35/x
  3. Step 3: Cross multiply
    9,733.77x = 13,390.09 × 8,533.35
  4. Step 4: Simplify right side
    9,733.77x = 114,262,324.50
  5. Step 5: Solve for x
    x = 114,262,324.50/9,733.77
  6. Step 6: Final answer
    x = 11,738.75

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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.