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Finding the Fourth Proportional to 9,316.97, 13,976.40 and 3,077

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Solution

The fourth proportional to 9,316.97, 13,976.40 and 3,077 is: 4,615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316.97 : 13,976.40 = 3,077 : x
  2. Step 2: Convert to fraction form
    9,316.97/13,976.40 = 3,077/x
  3. Step 3: Cross multiply
    9,316.97x = 13,976.40 × 3,077
  4. Step 4: Simplify right side
    9,316.97x = 43,005,382.80
  5. Step 5: Solve for x
    x = 43,005,382.80/9,316.97
  6. Step 6: Final answer
    x = 4,615.81

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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.