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Finding the Fourth Proportional to 9,607.45, 14,413.20 and 3,034.30

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Solution

The fourth proportional to 9,607.45, 14,413.20 and 3,034.30 is: 4,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.45 : 14,413.20 = 3,034.30 : x
  2. Step 2: Convert to fraction form
    9,607.45/14,413.20 = 3,034.30/x
  3. Step 3: Cross multiply
    9,607.45x = 14,413.20 × 3,034.30
  4. Step 4: Simplify right side
    9,607.45x = 43,733,972.76
  5. Step 5: Solve for x
    x = 43,733,972.76/9,607.45
  6. Step 6: Final answer
    x = 4,552.09

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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.