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Finding the Fourth Proportional to 9,464, 14,196.24 and 3,308

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Solution

The fourth proportional to 9,464, 14,196.24 and 3,308 is: 4,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464 : 14,196.24 = 3,308 : x
  2. Step 2: Convert to fraction form
    9,464/14,196.24 = 3,308/x
  3. Step 3: Cross multiply
    9,464x = 14,196.24 × 3,308
  4. Step 4: Simplify right side
    9,464x = 46,961,161.92
  5. Step 5: Solve for x
    x = 46,961,161.92/9,464
  6. Step 6: Final answer
    x = 4,962.08

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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.