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Finding the Fourth Proportional to 9,822.77, 14,726.79 and 5,926.26

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Solution

The fourth proportional to 9,822.77, 14,726.79 and 5,926.26 is: 8,884.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.77 : 14,726.79 = 5,926.26 : x
  2. Step 2: Convert to fraction form
    9,822.77/14,726.79 = 5,926.26/x
  3. Step 3: Cross multiply
    9,822.77x = 14,726.79 × 5,926.26
  4. Step 4: Simplify right side
    9,822.77x = 87,274,786.51
  5. Step 5: Solve for x
    x = 87,274,786.51/9,822.77
  6. Step 6: Final answer
    x = 8,884.95

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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.