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Finding the Fourth Proportional to 9,656.44, 14,485.50 and 2,730.94

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Solution

The fourth proportional to 9,656.44, 14,485.50 and 2,730.94 is: 4,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.44 : 14,485.50 = 2,730.94 : x
  2. Step 2: Convert to fraction form
    9,656.44/14,485.50 = 2,730.94/x
  3. Step 3: Cross multiply
    9,656.44x = 14,485.50 × 2,730.94
  4. Step 4: Simplify right side
    9,656.44x = 39,558,995.16
  5. Step 5: Solve for x
    x = 39,558,995.16/9,656.44
  6. Step 6: Final answer
    x = 4,096.64

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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.