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Finding the Fourth Proportional to 9,445, 14,167.62 and 3,289

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Solution

The fourth proportional to 9,445, 14,167.62 and 3,289 is: 4,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445 : 14,167.62 = 3,289 : x
  2. Step 2: Convert to fraction form
    9,445/14,167.62 = 3,289/x
  3. Step 3: Cross multiply
    9,445x = 14,167.62 × 3,289
  4. Step 4: Simplify right side
    9,445x = 46,597,302.18
  5. Step 5: Solve for x
    x = 46,597,302.18/9,445
  6. Step 6: Final answer
    x = 4,933.54

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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.