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Finding the Fourth Proportional to 9,158.32, 12,637.94 and 5,179.60

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Solution

The fourth proportional to 9,158.32, 12,637.94 and 5,179.60 is: 7,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.32 : 12,637.94 = 5,179.60 : x
  2. Step 2: Convert to fraction form
    9,158.32/12,637.94 = 5,179.60/x
  3. Step 3: Cross multiply
    9,158.32x = 12,637.94 × 5,179.60
  4. Step 4: Simplify right side
    9,158.32x = 65,459,474.02
  5. Step 5: Solve for x
    x = 65,459,474.02/9,158.32
  6. Step 6: Final answer
    x = 7,147.54

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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.