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Finding the Fourth Proportional to 9,627.44, 14,371.46 and 8,906

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Solution

The fourth proportional to 9,627.44, 14,371.46 and 8,906 is: 13,294.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.44 : 14,371.46 = 8,906 : x
  2. Step 2: Convert to fraction form
    9,627.44/14,371.46 = 8,906/x
  3. Step 3: Cross multiply
    9,627.44x = 14,371.46 × 8,906
  4. Step 4: Simplify right side
    9,627.44x = 127,992,222.76
  5. Step 5: Solve for x
    x = 127,992,222.76/9,627.44
  6. Step 6: Final answer
    x = 13,294.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.