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Finding the Fourth Proportional to 6,174.74, 9,258.06 and 2,841.60

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Solution

The fourth proportional to 6,174.74, 9,258.06 and 2,841.60 is: 4,260.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.74 : 9,258.06 = 2,841.60 : x
  2. Step 2: Convert to fraction form
    6,174.74/9,258.06 = 2,841.60/x
  3. Step 3: Cross multiply
    6,174.74x = 9,258.06 × 2,841.60
  4. Step 4: Simplify right side
    6,174.74x = 26,307,703.30
  5. Step 5: Solve for x
    x = 26,307,703.30/6,174.74
  6. Step 6: Final answer
    x = 4,260.54

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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.