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Finding the Fourth Proportional to 9,156.96, 12,636.61 and 4,965.21

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Solution

The fourth proportional to 9,156.96, 12,636.61 and 4,965.21 is: 6,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.96 : 12,636.61 = 4,965.21 : x
  2. Step 2: Convert to fraction form
    9,156.96/12,636.61 = 4,965.21/x
  3. Step 3: Cross multiply
    9,156.96x = 12,636.61 × 4,965.21
  4. Step 4: Simplify right side
    9,156.96x = 62,743,334.33
  5. Step 5: Solve for x
    x = 62,743,334.33/9,156.96
  6. Step 6: Final answer
    x = 6,851.99

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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.