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Finding the Fourth Proportional to 9,226.85, 13,840.29 and 7,389.65

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Solution

The fourth proportional to 9,226.85, 13,840.29 and 7,389.65 is: 11,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.85 : 13,840.29 = 7,389.65 : x
  2. Step 2: Convert to fraction form
    9,226.85/13,840.29 = 7,389.65/x
  3. Step 3: Cross multiply
    9,226.85x = 13,840.29 × 7,389.65
  4. Step 4: Simplify right side
    9,226.85x = 102,274,899.00
  5. Step 5: Solve for x
    x = 102,274,899.00/9,226.85
  6. Step 6: Final answer
    x = 11,084.49

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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.