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Finding the Fourth Proportional to 9,533.70, 14,300.54 and 3,984.02

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Solution

The fourth proportional to 9,533.70, 14,300.54 and 3,984.02 is: 5,976.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.70 : 14,300.54 = 3,984.02 : x
  2. Step 2: Convert to fraction form
    9,533.70/14,300.54 = 3,984.02/x
  3. Step 3: Cross multiply
    9,533.70x = 14,300.54 × 3,984.02
  4. Step 4: Simplify right side
    9,533.70x = 56,973,637.37
  5. Step 5: Solve for x
    x = 56,973,637.37/9,533.70
  6. Step 6: Final answer
    x = 5,976.03

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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.