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Finding the Fourth Proportional to 6,071.36, 9,106.63 and 2,175.89

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Solution

The fourth proportional to 6,071.36, 9,106.63 and 2,175.89 is: 3,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.36 : 9,106.63 = 2,175.89 : x
  2. Step 2: Convert to fraction form
    6,071.36/9,106.63 = 2,175.89/x
  3. Step 3: Cross multiply
    6,071.36x = 9,106.63 × 2,175.89
  4. Step 4: Simplify right side
    6,071.36x = 19,814,974.18
  5. Step 5: Solve for x
    x = 19,814,974.18/6,071.36
  6. Step 6: Final answer
    x = 3,263.68

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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.