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Finding the Fourth Proportional to 6,692.33, 9,239.75 and 4,303.38

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Solution

The fourth proportional to 6,692.33, 9,239.75 and 4,303.38 is: 5,941.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.33 : 9,239.75 = 4,303.38 : x
  2. Step 2: Convert to fraction form
    6,692.33/9,239.75 = 4,303.38/x
  3. Step 3: Cross multiply
    6,692.33x = 9,239.75 × 4,303.38
  4. Step 4: Simplify right side
    6,692.33x = 39,762,109.16
  5. Step 5: Solve for x
    x = 39,762,109.16/6,692.33
  6. Step 6: Final answer
    x = 5,941.44

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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.