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Finding the Fourth Proportional to 7,082.37, 9,771.93 and 4,097.34

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Solution

The fourth proportional to 7,082.37, 9,771.93 and 4,097.34 is: 5,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.37 : 9,771.93 = 4,097.34 : x
  2. Step 2: Convert to fraction form
    7,082.37/9,771.93 = 4,097.34/x
  3. Step 3: Cross multiply
    7,082.37x = 9,771.93 × 4,097.34
  4. Step 4: Simplify right side
    7,082.37x = 40,038,919.67
  5. Step 5: Solve for x
    x = 40,038,919.67/7,082.37
  6. Step 6: Final answer
    x = 5,653.32

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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.