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Finding the Fourth Proportional to 9,395.32, 12,964.78 and 5,413.76

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Solution

The fourth proportional to 9,395.32, 12,964.78 and 5,413.76 is: 7,470.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.32 : 12,964.78 = 5,413.76 : x
  2. Step 2: Convert to fraction form
    9,395.32/12,964.78 = 5,413.76/x
  3. Step 3: Cross multiply
    9,395.32x = 12,964.78 × 5,413.76
  4. Step 4: Simplify right side
    9,395.32x = 70,188,207.37
  5. Step 5: Solve for x
    x = 70,188,207.37/9,395.32
  6. Step 6: Final answer
    x = 7,470.55

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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.