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Finding the Fourth Proportional to 9,839.07, 14,765.29 and 7,379.91

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Solution

The fourth proportional to 9,839.07, 14,765.29 and 7,379.91 is: 11,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.07 : 14,765.29 = 7,379.91 : x
  2. Step 2: Convert to fraction form
    9,839.07/14,765.29 = 7,379.91/x
  3. Step 3: Cross multiply
    9,839.07x = 14,765.29 × 7,379.91
  4. Step 4: Simplify right side
    9,839.07x = 108,966,492.87
  5. Step 5: Solve for x
    x = 108,966,492.87/9,839.07
  6. Step 6: Final answer
    x = 11,074.88

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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.