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Finding the Fourth Proportional to 6,059.90, 9,077.70 and 4,091.60

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Solution

The fourth proportional to 6,059.90, 9,077.70 and 4,091.60 is: 6,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.90 : 9,077.70 = 4,091.60 : x
  2. Step 2: Convert to fraction form
    6,059.90/9,077.70 = 4,091.60/x
  3. Step 3: Cross multiply
    6,059.90x = 9,077.70 × 4,091.60
  4. Step 4: Simplify right side
    6,059.90x = 37,142,317.32
  5. Step 5: Solve for x
    x = 37,142,317.32/6,059.90
  6. Step 6: Final answer
    x = 6,129.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.