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Finding the Fourth Proportional to 9,090.20, 12,544.26 and 5,946.32

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Solution

The fourth proportional to 9,090.20, 12,544.26 and 5,946.32 is: 8,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.20 : 12,544.26 = 5,946.32 : x
  2. Step 2: Convert to fraction form
    9,090.20/12,544.26 = 5,946.32/x
  3. Step 3: Cross multiply
    9,090.20x = 12,544.26 × 5,946.32
  4. Step 4: Simplify right side
    9,090.20x = 74,592,184.12
  5. Step 5: Solve for x
    x = 74,592,184.12/9,090.20
  6. Step 6: Final answer
    x = 8,205.78

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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.