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Finding the Fourth Proportional to 9,646.85, 13,313.93 and 5,399.54

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Solution

The fourth proportional to 9,646.85, 13,313.93 and 5,399.54 is: 7,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.85 : 13,313.93 = 5,399.54 : x
  2. Step 2: Convert to fraction form
    9,646.85/13,313.93 = 5,399.54/x
  3. Step 3: Cross multiply
    9,646.85x = 13,313.93 × 5,399.54
  4. Step 4: Simplify right side
    9,646.85x = 71,889,004.02
  5. Step 5: Solve for x
    x = 71,889,004.02/9,646.85
  6. Step 6: Final answer
    x = 7,452.07

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