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Finding the Fourth Proportional to 9,335.99, 14,005.35 and 3,413.17

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Solution

The fourth proportional to 9,335.99, 14,005.35 and 3,413.17 is: 5,120.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.99 : 14,005.35 = 3,413.17 : x
  2. Step 2: Convert to fraction form
    9,335.99/14,005.35 = 3,413.17/x
  3. Step 3: Cross multiply
    9,335.99x = 14,005.35 × 3,413.17
  4. Step 4: Simplify right side
    9,335.99x = 47,802,640.46
  5. Step 5: Solve for x
    x = 47,802,640.46/9,335.99
  6. Step 6: Final answer
    x = 5,120.25

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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.