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Finding the Fourth Proportional to 9,722, 14,585.44 and 2,796.50

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Solution

The fourth proportional to 9,722, 14,585.44 and 2,796.50 is: 4,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722 : 14,585.44 = 2,796.50 : x
  2. Step 2: Convert to fraction form
    9,722/14,585.44 = 2,796.50/x
  3. Step 3: Cross multiply
    9,722x = 14,585.44 × 2,796.50
  4. Step 4: Simplify right side
    9,722x = 40,788,182.96
  5. Step 5: Solve for x
    x = 40,788,182.96/9,722
  6. Step 6: Final answer
    x = 4,195.45

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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.