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Finding the Fourth Proportional to 9,813.72, 14,709.24 and 4,266.03

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Solution

The fourth proportional to 9,813.72, 14,709.24 and 4,266.03 is: 6,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.72 : 14,709.24 = 4,266.03 : x
  2. Step 2: Convert to fraction form
    9,813.72/14,709.24 = 4,266.03/x
  3. Step 3: Cross multiply
    9,813.72x = 14,709.24 × 4,266.03
  4. Step 4: Simplify right side
    9,813.72x = 62,750,059.12
  5. Step 5: Solve for x
    x = 62,750,059.12/9,813.72
  6. Step 6: Final answer
    x = 6,394.12

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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.