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Finding the Fourth Proportional to 9,477.41, 14,177.23 and 7,902.77

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Solution

The fourth proportional to 9,477.41, 14,177.23 and 7,902.77 is: 11,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.41 : 14,177.23 = 7,902.77 : x
  2. Step 2: Convert to fraction form
    9,477.41/14,177.23 = 7,902.77/x
  3. Step 3: Cross multiply
    9,477.41x = 14,177.23 × 7,902.77
  4. Step 4: Simplify right side
    9,477.41x = 112,039,297.28
  5. Step 5: Solve for x
    x = 112,039,297.28/9,477.41
  6. Step 6: Final answer
    x = 11,821.73

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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.