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Finding the Fourth Proportional to 9,094.77, 13,614.03 and 7,766.37

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Solution

The fourth proportional to 9,094.77, 13,614.03 and 7,766.37 is: 11,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.77 : 13,614.03 = 7,766.37 : x
  2. Step 2: Convert to fraction form
    9,094.77/13,614.03 = 7,766.37/x
  3. Step 3: Cross multiply
    9,094.77x = 13,614.03 × 7,766.37
  4. Step 4: Simplify right side
    9,094.77x = 105,731,594.17
  5. Step 5: Solve for x
    x = 105,731,594.17/9,094.77
  6. Step 6: Final answer
    x = 11,625.54

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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.