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Finding the Fourth Proportional to 6,496,920.34, 9,742,016.37 and 3,463,471.42

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Solution

The fourth proportional to 6,496,920.34, 9,742,016.37 and 3,463,471.42 is: 5,193,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496,920.34 : 9,742,016.37 = 3,463,471.42 : x
  2. Step 2: Convert to fraction form
    6,496,920.34/9,742,016.37 = 3,463,471.42/x
  3. Step 3: Cross multiply
    6,496,920.34x = 9,742,016.37 × 3,463,471.42
  4. Step 4: Simplify right side
    6,496,920.34x = 33,741,195,270,667.14
  5. Step 5: Solve for x
    x = 33,741,195,270,667.14/6,496,920.34
  6. Step 6: Final answer
    x = 5,193,413.73

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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.