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Finding the Fourth Proportional to 6,930.43, 9,565.07 and 4,413.64

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Solution

The fourth proportional to 6,930.43, 9,565.07 and 4,413.64 is: 6,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.43 : 9,565.07 = 4,413.64 : x
  2. Step 2: Convert to fraction form
    6,930.43/9,565.07 = 4,413.64/x
  3. Step 3: Cross multiply
    6,930.43x = 9,565.07 × 4,413.64
  4. Step 4: Simplify right side
    6,930.43x = 42,216,772.34
  5. Step 5: Solve for x
    x = 42,216,772.34/6,930.43
  6. Step 6: Final answer
    x = 6,091.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.