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Finding the Fourth Proportional to 9,156.77, 12,636.36 and 4,965.02

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Solution

The fourth proportional to 9,156.77, 12,636.36 and 4,965.02 is: 6,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.77 : 12,636.36 = 4,965.02 : x
  2. Step 2: Convert to fraction form
    9,156.77/12,636.36 = 4,965.02/x
  3. Step 3: Cross multiply
    9,156.77x = 12,636.36 × 4,965.02
  4. Step 4: Simplify right side
    9,156.77x = 62,739,716.95
  5. Step 5: Solve for x
    x = 62,739,716.95/9,156.77
  6. Step 6: Final answer
    x = 6,851.73

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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.