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Finding the Fourth Proportional to 6,146.90, 9,218.22 and 3,803.32

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Solution

The fourth proportional to 6,146.90, 9,218.22 and 3,803.32 is: 5,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.90 : 9,218.22 = 3,803.32 : x
  2. Step 2: Convert to fraction form
    6,146.90/9,218.22 = 3,803.32/x
  3. Step 3: Cross multiply
    6,146.90x = 9,218.22 × 3,803.32
  4. Step 4: Simplify right side
    6,146.90x = 35,059,837.75
  5. Step 5: Solve for x
    x = 35,059,837.75/6,146.90
  6. Step 6: Final answer
    x = 5,703.66

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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.