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Finding the Fourth Proportional to 6,584.56, 9,091.45 and 4,070.12

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Solution

The fourth proportional to 6,584.56, 9,091.45 and 4,070.12 is: 5,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.56 : 9,091.45 = 4,070.12 : x
  2. Step 2: Convert to fraction form
    6,584.56/9,091.45 = 4,070.12/x
  3. Step 3: Cross multiply
    6,584.56x = 9,091.45 × 4,070.12
  4. Step 4: Simplify right side
    6,584.56x = 37,003,240.66
  5. Step 5: Solve for x
    x = 37,003,240.66/6,584.56
  6. Step 6: Final answer
    x = 5,619.70

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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.