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Finding the Fourth Proportional to 6,089.84, 9,129.27 and 2,191.50

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Solution

The fourth proportional to 6,089.84, 9,129.27 and 2,191.50 is: 3,285.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.84 : 9,129.27 = 2,191.50 : x
  2. Step 2: Convert to fraction form
    6,089.84/9,129.27 = 2,191.50/x
  3. Step 3: Cross multiply
    6,089.84x = 9,129.27 × 2,191.50
  4. Step 4: Simplify right side
    6,089.84x = 20,006,795.21
  5. Step 5: Solve for x
    x = 20,006,795.21/6,089.84
  6. Step 6: Final answer
    x = 3,285.27

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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.