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Finding the Fourth Proportional to 6,943.94, 10,349.90 and 6,549.86

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Solution

The fourth proportional to 6,943.94, 10,349.90 and 6,549.86 is: 9,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.94 : 10,349.90 = 6,549.86 : x
  2. Step 2: Convert to fraction form
    6,943.94/10,349.90 = 6,549.86/x
  3. Step 3: Cross multiply
    6,943.94x = 10,349.90 × 6,549.86
  4. Step 4: Simplify right side
    6,943.94x = 67,790,311.52
  5. Step 5: Solve for x
    x = 67,790,311.52/6,943.94
  6. Step 6: Final answer
    x = 9,762.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.