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Finding the Fourth Proportional to 9,509.89, 14,266.37 and 2,934.54

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Solution

The fourth proportional to 9,509.89, 14,266.37 and 2,934.54 is: 4,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.89 : 14,266.37 = 2,934.54 : x
  2. Step 2: Convert to fraction form
    9,509.89/14,266.37 = 2,934.54/x
  3. Step 3: Cross multiply
    9,509.89x = 14,266.37 × 2,934.54
  4. Step 4: Simplify right side
    9,509.89x = 41,865,162.09
  5. Step 5: Solve for x
    x = 41,865,162.09/9,509.89
  6. Step 6: Final answer
    x = 4,402.28

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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.