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Finding the Fourth Proportional to 9,462.37, 13,057.93 and 5,483.39

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Solution

The fourth proportional to 9,462.37, 13,057.93 and 5,483.39 is: 7,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.37 : 13,057.93 = 5,483.39 : x
  2. Step 2: Convert to fraction form
    9,462.37/13,057.93 = 5,483.39/x
  3. Step 3: Cross multiply
    9,462.37x = 13,057.93 × 5,483.39
  4. Step 4: Simplify right side
    9,462.37x = 71,601,722.78
  5. Step 5: Solve for x
    x = 71,601,722.78/9,462.37
  6. Step 6: Final answer
    x = 7,567.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.