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Finding the Fourth Proportional to 10,413.99, 14,376.05 and 6,642.33

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Solution

The fourth proportional to 10,413.99, 14,376.05 and 6,642.33 is: 9,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.99 : 14,376.05 = 6,642.33 : x
  2. Step 2: Convert to fraction form
    10,413.99/14,376.05 = 6,642.33/x
  3. Step 3: Cross multiply
    10,413.99x = 14,376.05 × 6,642.33
  4. Step 4: Simplify right side
    10,413.99x = 95,490,484.80
  5. Step 5: Solve for x
    x = 95,490,484.80/10,413.99
  6. Step 6: Final answer
    x = 9,169.44

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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.