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Finding the Fourth Proportional to 6,090.32, 9,135.74 and 1,930.24

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Solution

The fourth proportional to 6,090.32, 9,135.74 and 1,930.24 is: 2,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.32 : 9,135.74 = 1,930.24 : x
  2. Step 2: Convert to fraction form
    6,090.32/9,135.74 = 1,930.24/x
  3. Step 3: Cross multiply
    6,090.32x = 9,135.74 × 1,930.24
  4. Step 4: Simplify right side
    6,090.32x = 17,634,187.02
  5. Step 5: Solve for x
    x = 17,634,187.02/6,090.32
  6. Step 6: Final answer
    x = 2,895.44

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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.