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Finding the Fourth Proportional to 9,455, 14,182.56 and 3,299

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Solution

The fourth proportional to 9,455, 14,182.56 and 3,299 is: 4,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455 : 14,182.56 = 3,299 : x
  2. Step 2: Convert to fraction form
    9,455/14,182.56 = 3,299/x
  3. Step 3: Cross multiply
    9,455x = 14,182.56 × 3,299
  4. Step 4: Simplify right side
    9,455x = 46,788,265.44
  5. Step 5: Solve for x
    x = 46,788,265.44/9,455
  6. Step 6: Final answer
    x = 4,948.52

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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.