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Finding the Fourth Proportional to 6,807.24, 9,396 and 5,041.44

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Solution

The fourth proportional to 6,807.24, 9,396 and 5,041.44 is: 6,958.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,807.24 : 9,396 = 5,041.44 : x
  2. Step 2: Convert to fraction form
    6,807.24/9,396 = 5,041.44/x
  3. Step 3: Cross multiply
    6,807.24x = 9,396 × 5,041.44
  4. Step 4: Simplify right side
    6,807.24x = 47,369,370.24
  5. Step 5: Solve for x
    x = 47,369,370.24/6,807.24
  6. Step 6: Final answer
    x = 6,958.67

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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.