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Finding the Fourth Proportional to 9,828.34, 14,749.64 and 7,369.78

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Solution

The fourth proportional to 9,828.34, 14,749.64 and 7,369.78 is: 11,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828.34 : 14,749.64 = 7,369.78 : x
  2. Step 2: Convert to fraction form
    9,828.34/14,749.64 = 7,369.78/x
  3. Step 3: Cross multiply
    9,828.34x = 14,749.64 × 7,369.78
  4. Step 4: Simplify right side
    9,828.34x = 108,701,601.88
  5. Step 5: Solve for x
    x = 108,701,601.88/9,828.34
  6. Step 6: Final answer
    x = 11,060.02

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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.