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Finding the Fourth Proportional to 6,715.00, 9,266.62 and 3,730.77

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Solution

The fourth proportional to 6,715.00, 9,266.62 and 3,730.77 is: 5,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.00 : 9,266.62 = 3,730.77 : x
  2. Step 2: Convert to fraction form
    6,715.00/9,266.62 = 3,730.77/x
  3. Step 3: Cross multiply
    6,715.00x = 9,266.62 × 3,730.77
  4. Step 4: Simplify right side
    6,715.00x = 34,571,622.86
  5. Step 5: Solve for x
    x = 34,571,622.86/6,715.00
  6. Step 6: Final answer
    x = 5,148.42

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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.