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Finding the Fourth Proportional to 9,660.55, 13,328.43 and 5,410.97

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Solution

The fourth proportional to 9,660.55, 13,328.43 and 5,410.97 is: 7,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.55 : 13,328.43 = 5,410.97 : x
  2. Step 2: Convert to fraction form
    9,660.55/13,328.43 = 5,410.97/x
  3. Step 3: Cross multiply
    9,660.55x = 13,328.43 × 5,410.97
  4. Step 4: Simplify right side
    9,660.55x = 72,119,734.88
  5. Step 5: Solve for x
    x = 72,119,734.88/9,660.55
  6. Step 6: Final answer
    x = 7,465.39

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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.