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Finding the Fourth Proportional to 6,541.86, 9,803.23 and 4,069.17

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Solution

The fourth proportional to 6,541.86, 9,803.23 and 4,069.17 is: 6,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.86 : 9,803.23 = 4,069.17 : x
  2. Step 2: Convert to fraction form
    6,541.86/9,803.23 = 4,069.17/x
  3. Step 3: Cross multiply
    6,541.86x = 9,803.23 × 4,069.17
  4. Step 4: Simplify right side
    6,541.86x = 39,890,999.25
  5. Step 5: Solve for x
    x = 39,890,999.25/6,541.86
  6. Step 6: Final answer
    x = 6,097.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.