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Finding the Fourth Proportional to 6,584.37, 9,077.00 and 4,064.82

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Solution

The fourth proportional to 6,584.37, 9,077.00 and 4,064.82 is: 5,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.37 : 9,077.00 = 4,064.82 : x
  2. Step 2: Convert to fraction form
    6,584.37/9,077.00 = 4,064.82/x
  3. Step 3: Cross multiply
    6,584.37x = 9,077.00 × 4,064.82
  4. Step 4: Simplify right side
    6,584.37x = 36,896,350.82
  5. Step 5: Solve for x
    x = 36,896,350.82/6,584.37
  6. Step 6: Final answer
    x = 5,603.63

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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.