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Finding the Fourth Proportional to 9,722.34, 14,586.98 and 4,795.49

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Solution

The fourth proportional to 9,722.34, 14,586.98 and 4,795.49 is: 7,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.34 : 14,586.98 = 4,795.49 : x
  2. Step 2: Convert to fraction form
    9,722.34/14,586.98 = 4,795.49/x
  3. Step 3: Cross multiply
    9,722.34x = 14,586.98 × 4,795.49
  4. Step 4: Simplify right side
    9,722.34x = 69,951,619.81
  5. Step 5: Solve for x
    x = 69,951,619.81/9,722.34
  6. Step 6: Final answer
    x = 7,194.94

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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.