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Finding the Fourth Proportional to 9,155.49, 12,634.05 and 5,176.77

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Solution

The fourth proportional to 9,155.49, 12,634.05 and 5,176.77 is: 7,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.49 : 12,634.05 = 5,176.77 : x
  2. Step 2: Convert to fraction form
    9,155.49/12,634.05 = 5,176.77/x
  3. Step 3: Cross multiply
    9,155.49x = 12,634.05 × 5,176.77
  4. Step 4: Simplify right side
    9,155.49x = 65,403,571.02
  5. Step 5: Solve for x
    x = 65,403,571.02/9,155.49
  6. Step 6: Final answer
    x = 7,143.65

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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.