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Finding the Fourth Proportional to 9,560.72, 14,342.60 and 3,322.64

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Solution

The fourth proportional to 9,560.72, 14,342.60 and 3,322.64 is: 4,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.72 : 14,342.60 = 3,322.64 : x
  2. Step 2: Convert to fraction form
    9,560.72/14,342.60 = 3,322.64/x
  3. Step 3: Cross multiply
    9,560.72x = 14,342.60 × 3,322.64
  4. Step 4: Simplify right side
    9,560.72x = 47,655,296.46
  5. Step 5: Solve for x
    x = 47,655,296.46/9,560.72
  6. Step 6: Final answer
    x = 4,984.49

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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.