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Finding the Fourth Proportional to 6,602.14, 9,903.22 and 1,922.44

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Solution

The fourth proportional to 6,602.14, 9,903.22 and 1,922.44 is: 2,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.14 : 9,903.22 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    6,602.14/9,903.22 = 1,922.44/x
  3. Step 3: Cross multiply
    6,602.14x = 9,903.22 × 1,922.44
  4. Step 4: Simplify right side
    6,602.14x = 19,038,346.26
  5. Step 5: Solve for x
    x = 19,038,346.26/6,602.14
  6. Step 6: Final answer
    x = 2,883.66

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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.