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Finding the Fourth Proportional to 7,024.81, 9,692.80 and 4,473.59

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Solution

The fourth proportional to 7,024.81, 9,692.80 and 4,473.59 is: 6,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.81 : 9,692.80 = 4,473.59 : x
  2. Step 2: Convert to fraction form
    7,024.81/9,692.80 = 4,473.59/x
  3. Step 3: Cross multiply
    7,024.81x = 9,692.80 × 4,473.59
  4. Step 4: Simplify right side
    7,024.81x = 43,361,613.15
  5. Step 5: Solve for x
    x = 43,361,613.15/7,024.81
  6. Step 6: Final answer
    x = 6,172.64

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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.