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Finding the Fourth Proportional to 6,834.55, 9,430.54 and 3,809.01

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Solution

The fourth proportional to 6,834.55, 9,430.54 and 3,809.01 is: 5,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.55 : 9,430.54 = 3,809.01 : x
  2. Step 2: Convert to fraction form
    6,834.55/9,430.54 = 3,809.01/x
  3. Step 3: Cross multiply
    6,834.55x = 9,430.54 × 3,809.01
  4. Step 4: Simplify right side
    6,834.55x = 35,921,061.29
  5. Step 5: Solve for x
    x = 35,921,061.29/6,834.55
  6. Step 6: Final answer
    x = 5,255.80

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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.