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Finding the Fourth Proportional to 9,155.81, 12,635.29 and 5,176.84

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Solution

The fourth proportional to 9,155.81, 12,635.29 and 5,176.84 is: 7,144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.81 : 12,635.29 = 5,176.84 : x
  2. Step 2: Convert to fraction form
    9,155.81/12,635.29 = 5,176.84/x
  3. Step 3: Cross multiply
    9,155.81x = 12,635.29 × 5,176.84
  4. Step 4: Simplify right side
    9,155.81x = 65,410,830.15
  5. Step 5: Solve for x
    x = 65,410,830.15/9,155.81
  6. Step 6: Final answer
    x = 7,144.19

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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.