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Finding the Fourth Proportional to 6,071.40, 9,095.76 and 3,466.44

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Solution

The fourth proportional to 6,071.40, 9,095.76 and 3,466.44 is: 5,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.40 : 9,095.76 = 3,466.44 : x
  2. Step 2: Convert to fraction form
    6,071.40/9,095.76 = 3,466.44/x
  3. Step 3: Cross multiply
    6,071.40x = 9,095.76 × 3,466.44
  4. Step 4: Simplify right side
    6,071.40x = 31,529,906.29
  5. Step 5: Solve for x
    x = 31,529,906.29/6,071.40
  6. Step 6: Final answer
    x = 5,193.19

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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.