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Finding the Fourth Proportional to 6,185.54, 9,280.34 and 2,290.25

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Solution

The fourth proportional to 6,185.54, 9,280.34 and 2,290.25 is: 3,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.54 : 9,280.34 = 2,290.25 : x
  2. Step 2: Convert to fraction form
    6,185.54/9,280.34 = 2,290.25/x
  3. Step 3: Cross multiply
    6,185.54x = 9,280.34 × 2,290.25
  4. Step 4: Simplify right side
    6,185.54x = 21,254,298.69
  5. Step 5: Solve for x
    x = 21,254,298.69/6,185.54
  6. Step 6: Final answer
    x = 3,436.13

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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.