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Finding the Fourth Proportional to 6,321.86, 9,475.09 and 4,473.50

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Solution

The fourth proportional to 6,321.86, 9,475.09 and 4,473.50 is: 6,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.86 : 9,475.09 = 4,473.50 : x
  2. Step 2: Convert to fraction form
    6,321.86/9,475.09 = 4,473.50/x
  3. Step 3: Cross multiply
    6,321.86x = 9,475.09 × 4,473.50
  4. Step 4: Simplify right side
    6,321.86x = 42,386,815.12
  5. Step 5: Solve for x
    x = 42,386,815.12/6,321.86
  6. Step 6: Final answer
    x = 6,704.80

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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.