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Finding the Fourth Proportional to 6,962.63, 9,608.63 and 3,819.02

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Solution

The fourth proportional to 6,962.63, 9,608.63 and 3,819.02 is: 5,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.63 : 9,608.63 = 3,819.02 : x
  2. Step 2: Convert to fraction form
    6,962.63/9,608.63 = 3,819.02/x
  3. Step 3: Cross multiply
    6,962.63x = 9,608.63 × 3,819.02
  4. Step 4: Simplify right side
    6,962.63x = 36,695,483.00
  5. Step 5: Solve for x
    x = 36,695,483.00/6,962.63
  6. Step 6: Final answer
    x = 5,270.35

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Why These Related Problems?

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