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Finding the Fourth Proportional to 6,161.66, 9,284.06 and 5,090.02

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Solution

The fourth proportional to 6,161.66, 9,284.06 and 5,090.02 is: 7,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.66 : 9,284.06 = 5,090.02 : x
  2. Step 2: Convert to fraction form
    6,161.66/9,284.06 = 5,090.02/x
  3. Step 3: Cross multiply
    6,161.66x = 9,284.06 × 5,090.02
  4. Step 4: Simplify right side
    6,161.66x = 47,256,051.08
  5. Step 5: Solve for x
    x = 47,256,051.08/6,161.66
  6. Step 6: Final answer
    x = 7,669.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.