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Finding the Fourth Proportional to 9,478.08, 14,197.68 and 7,619.13

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Solution

The fourth proportional to 9,478.08, 14,197.68 and 7,619.13 is: 11,413.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.08 : 14,197.68 = 7,619.13 : x
  2. Step 2: Convert to fraction form
    9,478.08/14,197.68 = 7,619.13/x
  3. Step 3: Cross multiply
    9,478.08x = 14,197.68 × 7,619.13
  4. Step 4: Simplify right side
    9,478.08x = 108,173,969.62
  5. Step 5: Solve for x
    x = 108,173,969.62/9,478.08
  6. Step 6: Final answer
    x = 11,413.07

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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.