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Finding the Fourth Proportional to 9,533.92, 14,304.48 and 3,991

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Solution

The fourth proportional to 9,533.92, 14,304.48 and 3,991 is: 5,988.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.92 : 14,304.48 = 3,991 : x
  2. Step 2: Convert to fraction form
    9,533.92/14,304.48 = 3,991/x
  3. Step 3: Cross multiply
    9,533.92x = 14,304.48 × 3,991
  4. Step 4: Simplify right side
    9,533.92x = 57,089,179.68
  5. Step 5: Solve for x
    x = 57,089,179.68/9,533.92
  6. Step 6: Final answer
    x = 5,988.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.