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Finding the Fourth Proportional to 6,525.32, 9,004.62 and 3,692.36

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Solution

The fourth proportional to 6,525.32, 9,004.62 and 3,692.36 is: 5,095.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.32 : 9,004.62 = 3,692.36 : x
  2. Step 2: Convert to fraction form
    6,525.32/9,004.62 = 3,692.36/x
  3. Step 3: Cross multiply
    6,525.32x = 9,004.62 × 3,692.36
  4. Step 4: Simplify right side
    6,525.32x = 33,248,298.70
  5. Step 5: Solve for x
    x = 33,248,298.70/6,525.32
  6. Step 6: Final answer
    x = 5,095.27

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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.