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Finding the Fourth Proportional to 12,649.35, 17,455.91 and 6,984.69

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Solution

The fourth proportional to 12,649.35, 17,455.91 and 6,984.69 is: 9,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.35 : 17,455.91 = 6,984.69 : x
  2. Step 2: Convert to fraction form
    12,649.35/17,455.91 = 6,984.69/x
  3. Step 3: Cross multiply
    12,649.35x = 17,455.91 × 6,984.69
  4. Step 4: Simplify right side
    12,649.35x = 121,924,019.63
  5. Step 5: Solve for x
    x = 121,924,019.63/12,649.35
  6. Step 6: Final answer
    x = 9,638.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.