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Finding the Fourth Proportional to 7,085.02, 9,736.29 and 6,759.81

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Solution

The fourth proportional to 7,085.02, 9,736.29 and 6,759.81 is: 9,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085.02 : 9,736.29 = 6,759.81 : x
  2. Step 2: Convert to fraction form
    7,085.02/9,736.29 = 6,759.81/x
  3. Step 3: Cross multiply
    7,085.02x = 9,736.29 × 6,759.81
  4. Step 4: Simplify right side
    7,085.02x = 65,815,421.32
  5. Step 5: Solve for x
    x = 65,815,421.32/7,085.02
  6. Step 6: Final answer
    x = 9,289.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.