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Finding the Fourth Proportional to 9,609.90, 14,413.22 and 3,035.12

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Solution

The fourth proportional to 9,609.90, 14,413.22 and 3,035.12 is: 4,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.90 : 14,413.22 = 3,035.12 : x
  2. Step 2: Convert to fraction form
    9,609.90/14,413.22 = 3,035.12/x
  3. Step 3: Cross multiply
    9,609.90x = 14,413.22 × 3,035.12
  4. Step 4: Simplify right side
    9,609.90x = 43,745,852.29
  5. Step 5: Solve for x
    x = 43,745,852.29/9,609.90
  6. Step 6: Final answer
    x = 4,552.17

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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.