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Finding the Fourth Proportional to 6,365.05, 9,548.22 and 2,205.05

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Solution

The fourth proportional to 6,365.05, 9,548.22 and 2,205.05 is: 3,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.05 : 9,548.22 = 2,205.05 : x
  2. Step 2: Convert to fraction form
    6,365.05/9,548.22 = 2,205.05/x
  3. Step 3: Cross multiply
    6,365.05x = 9,548.22 × 2,205.05
  4. Step 4: Simplify right side
    6,365.05x = 21,054,294.71
  5. Step 5: Solve for x
    x = 21,054,294.71/6,365.05
  6. Step 6: Final answer
    x = 3,307.80

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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.