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Finding the Fourth Proportional to 6,995.34, 9,645.57 and 5,223.96

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Solution

The fourth proportional to 6,995.34, 9,645.57 and 5,223.96 is: 7,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.34 : 9,645.57 = 5,223.96 : x
  2. Step 2: Convert to fraction form
    6,995.34/9,645.57 = 5,223.96/x
  3. Step 3: Cross multiply
    6,995.34x = 9,645.57 × 5,223.96
  4. Step 4: Simplify right side
    6,995.34x = 50,388,071.86
  5. Step 5: Solve for x
    x = 50,388,071.86/6,995.34
  6. Step 6: Final answer
    x = 7,203.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.