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Finding the Fourth Proportional to 9,793.22, 14,665.22 and 7,726.51

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Solution

The fourth proportional to 9,793.22, 14,665.22 and 7,726.51 is: 11,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.22 : 14,665.22 = 7,726.51 : x
  2. Step 2: Convert to fraction form
    9,793.22/14,665.22 = 7,726.51/x
  3. Step 3: Cross multiply
    9,793.22x = 14,665.22 × 7,726.51
  4. Step 4: Simplify right side
    9,793.22x = 113,310,968.98
  5. Step 5: Solve for x
    x = 113,310,968.98/9,793.22
  6. Step 6: Final answer
    x = 11,570.35

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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.