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Finding the Fourth Proportional to 6,413.37, 9,607.59 and 4,215.42

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Solution

The fourth proportional to 6,413.37, 9,607.59 and 4,215.42 is: 6,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.37 : 9,607.59 = 4,215.42 : x
  2. Step 2: Convert to fraction form
    6,413.37/9,607.59 = 4,215.42/x
  3. Step 3: Cross multiply
    6,413.37x = 9,607.59 × 4,215.42
  4. Step 4: Simplify right side
    6,413.37x = 40,500,027.04
  5. Step 5: Solve for x
    x = 40,500,027.04/6,413.37
  6. Step 6: Final answer
    x = 6,314.94

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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.