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Finding the Fourth Proportional to 6,584.45, 9,086.52 and 4,907.30

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Solution

The fourth proportional to 6,584.45, 9,086.52 and 4,907.30 is: 6,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.45 : 9,086.52 = 4,907.30 : x
  2. Step 2: Convert to fraction form
    6,584.45/9,086.52 = 4,907.30/x
  3. Step 3: Cross multiply
    6,584.45x = 9,086.52 × 4,907.30
  4. Step 4: Simplify right side
    6,584.45x = 44,590,234.16
  5. Step 5: Solve for x
    x = 44,590,234.16/6,584.45
  6. Step 6: Final answer
    x = 6,772.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.