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Finding the Fourth Proportional to 9,605.25, 14,413.55 and 4,058.24

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Solution

The fourth proportional to 9,605.25, 14,413.55 and 4,058.24 is: 6,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.25 : 14,413.55 = 4,058.24 : x
  2. Step 2: Convert to fraction form
    9,605.25/14,413.55 = 4,058.24/x
  3. Step 3: Cross multiply
    9,605.25x = 14,413.55 × 4,058.24
  4. Step 4: Simplify right side
    9,605.25x = 58,493,645.15
  5. Step 5: Solve for x
    x = 58,493,645.15/9,605.25
  6. Step 6: Final answer
    x = 6,089.76

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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.