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Finding the Fourth Proportional to 9,471.51, 13,070.73 and 5,494.97

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Solution

The fourth proportional to 9,471.51, 13,070.73 and 5,494.97 is: 7,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.51 : 13,070.73 = 5,494.97 : x
  2. Step 2: Convert to fraction form
    9,471.51/13,070.73 = 5,494.97/x
  3. Step 3: Cross multiply
    9,471.51x = 13,070.73 × 5,494.97
  4. Step 4: Simplify right side
    9,471.51x = 71,823,269.23
  5. Step 5: Solve for x
    x = 71,823,269.23/9,471.51
  6. Step 6: Final answer
    x = 7,583.09

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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.