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Finding the Fourth Proportional to 6,289.60, 9,436.44 and 3,002.26

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Solution

The fourth proportional to 6,289.60, 9,436.44 and 3,002.26 is: 4,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.60 : 9,436.44 = 3,002.26 : x
  2. Step 2: Convert to fraction form
    6,289.60/9,436.44 = 3,002.26/x
  3. Step 3: Cross multiply
    6,289.60x = 9,436.44 × 3,002.26
  4. Step 4: Simplify right side
    6,289.60x = 28,330,646.35
  5. Step 5: Solve for x
    x = 28,330,646.35/6,289.60
  6. Step 6: Final answer
    x = 4,504.36

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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.