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Finding the Fourth Proportional to 6,323.77, 9,482.55 and 3,692.26

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Solution

The fourth proportional to 6,323.77, 9,482.55 and 3,692.26 is: 5,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.77 : 9,482.55 = 3,692.26 : x
  2. Step 2: Convert to fraction form
    6,323.77/9,482.55 = 3,692.26/x
  3. Step 3: Cross multiply
    6,323.77x = 9,482.55 × 3,692.26
  4. Step 4: Simplify right side
    6,323.77x = 35,012,040.06
  5. Step 5: Solve for x
    x = 35,012,040.06/6,323.77
  6. Step 6: Final answer
    x = 5,536.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.