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Finding the Fourth Proportional to 9,430, 14,151.48 and 3,274

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Solution

The fourth proportional to 9,430, 14,151.48 and 3,274 is: 4,913.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430 : 14,151.48 = 3,274 : x
  2. Step 2: Convert to fraction form
    9,430/14,151.48 = 3,274/x
  3. Step 3: Cross multiply
    9,430x = 14,151.48 × 3,274
  4. Step 4: Simplify right side
    9,430x = 46,331,945.52
  5. Step 5: Solve for x
    x = 46,331,945.52/9,430
  6. Step 6: Final answer
    x = 4,913.25

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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.