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Finding the Fourth Proportional to 6,172.89, 9,264.52 and 5,783.65

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Solution

The fourth proportional to 6,172.89, 9,264.52 and 5,783.65 is: 8,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.89 : 9,264.52 = 5,783.65 : x
  2. Step 2: Convert to fraction form
    6,172.89/9,264.52 = 5,783.65/x
  3. Step 3: Cross multiply
    6,172.89x = 9,264.52 × 5,783.65
  4. Step 4: Simplify right side
    6,172.89x = 53,582,707.83
  5. Step 5: Solve for x
    x = 53,582,707.83/6,172.89
  6. Step 6: Final answer
    x = 8,680.33

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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.