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Finding the Fourth Proportional to 9,587.20, 14,367.30 and 7,616.20

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Solution

The fourth proportional to 9,587.20, 14,367.30 and 7,616.20 is: 11,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.20 : 14,367.30 = 7,616.20 : x
  2. Step 2: Convert to fraction form
    9,587.20/14,367.30 = 7,616.20/x
  3. Step 3: Cross multiply
    9,587.20x = 14,367.30 × 7,616.20
  4. Step 4: Simplify right side
    9,587.20x = 109,424,230.26
  5. Step 5: Solve for x
    x = 109,424,230.26/9,587.20
  6. Step 6: Final answer
    x = 11,413.58

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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.