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Finding the Fourth Proportional to 6,584.06, 9,087.04 and 4,228.70

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Solution

The fourth proportional to 6,584.06, 9,087.04 and 4,228.70 is: 5,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.06 : 9,087.04 = 4,228.70 : x
  2. Step 2: Convert to fraction form
    6,584.06/9,087.04 = 4,228.70/x
  3. Step 3: Cross multiply
    6,584.06x = 9,087.04 × 4,228.70
  4. Step 4: Simplify right side
    6,584.06x = 38,426,366.05
  5. Step 5: Solve for x
    x = 38,426,366.05/6,584.06
  6. Step 6: Final answer
    x = 5,836.27

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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.