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Finding the Fourth Proportional to 29,283.72, 43,926.36 and 9,563.40

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Solution

The fourth proportional to 29,283.72, 43,926.36 and 9,563.40 is: 14,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,283.72 : 43,926.36 = 9,563.40 : x
  2. Step 2: Convert to fraction form
    29,283.72/43,926.36 = 9,563.40/x
  3. Step 3: Cross multiply
    29,283.72x = 43,926.36 × 9,563.40
  4. Step 4: Simplify right side
    29,283.72x = 420,085,351.22
  5. Step 5: Solve for x
    x = 420,085,351.22/29,283.72
  6. Step 6: Final answer
    x = 14,345.35

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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.