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Finding the Fourth Proportional to 9,615.46, 14,413.28 and 6,976.40

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Solution

The fourth proportional to 9,615.46, 14,413.28 and 6,976.40 is: 10,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.46 : 14,413.28 = 6,976.40 : x
  2. Step 2: Convert to fraction form
    9,615.46/14,413.28 = 6,976.40/x
  3. Step 3: Cross multiply
    9,615.46x = 14,413.28 × 6,976.40
  4. Step 4: Simplify right side
    9,615.46x = 100,552,806.59
  5. Step 5: Solve for x
    x = 100,552,806.59/9,615.46
  6. Step 6: Final answer
    x = 10,457.41

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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.