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Finding the Fourth Proportional to 6,089.89, 9,137.65 and 3,313.25

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Solution

The fourth proportional to 6,089.89, 9,137.65 and 3,313.25 is: 4,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.89 : 9,137.65 = 3,313.25 : x
  2. Step 2: Convert to fraction form
    6,089.89/9,137.65 = 3,313.25/x
  3. Step 3: Cross multiply
    6,089.89x = 9,137.65 × 3,313.25
  4. Step 4: Simplify right side
    6,089.89x = 30,275,373.08
  5. Step 5: Solve for x
    x = 30,275,373.08/6,089.89
  6. Step 6: Final answer
    x = 4,971.42

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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.