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Finding the Fourth Proportional to 7,055.70, 9,738.09 and 4,071.03

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Solution

The fourth proportional to 7,055.70, 9,738.09 and 4,071.03 is: 5,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.70 : 9,738.09 = 4,071.03 : x
  2. Step 2: Convert to fraction form
    7,055.70/9,738.09 = 4,071.03/x
  3. Step 3: Cross multiply
    7,055.70x = 9,738.09 × 4,071.03
  4. Step 4: Simplify right side
    7,055.70x = 39,644,056.53
  5. Step 5: Solve for x
    x = 39,644,056.53/7,055.70
  6. Step 6: Final answer
    x = 5,618.73

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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.