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Finding the Fourth Proportional to 10,413.78, 14,370.99 and 6,222.06

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Solution

The fourth proportional to 10,413.78, 14,370.99 and 6,222.06 is: 8,586.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.78 : 14,370.99 = 6,222.06 : x
  2. Step 2: Convert to fraction form
    10,413.78/14,370.99 = 6,222.06/x
  3. Step 3: Cross multiply
    10,413.78x = 14,370.99 × 6,222.06
  4. Step 4: Simplify right side
    10,413.78x = 89,417,162.04
  5. Step 5: Solve for x
    x = 89,417,162.04/10,413.78
  6. Step 6: Final answer
    x = 8,586.43

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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.