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Finding the Fourth Proportional to 9,418, 14,129.52 and 3,262

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Solution

The fourth proportional to 9,418, 14,129.52 and 3,262 is: 4,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418 : 14,129.52 = 3,262 : x
  2. Step 2: Convert to fraction form
    9,418/14,129.52 = 3,262/x
  3. Step 3: Cross multiply
    9,418x = 14,129.52 × 3,262
  4. Step 4: Simplify right side
    9,418x = 46,090,494.24
  5. Step 5: Solve for x
    x = 46,090,494.24/9,418
  6. Step 6: Final answer
    x = 4,893.87

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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.