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Finding the Fourth Proportional to 9,277.35, 12,810.20 and 6,093.15

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Solution

The fourth proportional to 9,277.35, 12,810.20 and 6,093.15 is: 8,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.35 : 12,810.20 = 6,093.15 : x
  2. Step 2: Convert to fraction form
    9,277.35/12,810.20 = 6,093.15/x
  3. Step 3: Cross multiply
    9,277.35x = 12,810.20 × 6,093.15
  4. Step 4: Simplify right side
    9,277.35x = 78,054,439.66
  5. Step 5: Solve for x
    x = 78,054,439.66/9,277.35
  6. Step 6: Final answer
    x = 8,413.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.