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Finding the Fourth Proportional to 9,649.51, 14,475.98 and 3,413.14

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Solution

The fourth proportional to 9,649.51, 14,475.98 and 3,413.14 is: 5,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.51 : 14,475.98 = 3,413.14 : x
  2. Step 2: Convert to fraction form
    9,649.51/14,475.98 = 3,413.14/x
  3. Step 3: Cross multiply
    9,649.51x = 14,475.98 × 3,413.14
  4. Step 4: Simplify right side
    9,649.51x = 49,408,518.72
  5. Step 5: Solve for x
    x = 49,408,518.72/9,649.51
  6. Step 6: Final answer
    x = 5,120.32

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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.