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Finding the Fourth Proportional to 9,969.73, 14,953.67 and 3,044.23

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Solution

The fourth proportional to 9,969.73, 14,953.67 and 3,044.23 is: 4,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.73 : 14,953.67 = 3,044.23 : x
  2. Step 2: Convert to fraction form
    9,969.73/14,953.67 = 3,044.23/x
  3. Step 3: Cross multiply
    9,969.73x = 14,953.67 × 3,044.23
  4. Step 4: Simplify right side
    9,969.73x = 45,522,381.05
  5. Step 5: Solve for x
    x = 45,522,381.05/9,969.73
  6. Step 6: Final answer
    x = 4,566.06

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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.