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Finding the Fourth Proportional to 9,182.08, 13,751.76 and 8,929.54

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Solution

The fourth proportional to 9,182.08, 13,751.76 and 8,929.54 is: 13,373.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.08 : 13,751.76 = 8,929.54 : x
  2. Step 2: Convert to fraction form
    9,182.08/13,751.76 = 8,929.54/x
  3. Step 3: Cross multiply
    9,182.08x = 13,751.76 × 8,929.54
  4. Step 4: Simplify right side
    9,182.08x = 122,796,890.99
  5. Step 5: Solve for x
    x = 122,796,890.99/9,182.08
  6. Step 6: Final answer
    x = 13,373.54

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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.