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Finding the Fourth Proportional to 9,138.36, 12,611.52 and 5,158.02

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Solution

The fourth proportional to 9,138.36, 12,611.52 and 5,158.02 is: 7,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.36 : 12,611.52 = 5,158.02 : x
  2. Step 2: Convert to fraction form
    9,138.36/12,611.52 = 5,158.02/x
  3. Step 3: Cross multiply
    9,138.36x = 12,611.52 × 5,158.02
  4. Step 4: Simplify right side
    9,138.36x = 65,050,472.39
  5. Step 5: Solve for x
    x = 65,050,472.39/9,138.36
  6. Step 6: Final answer
    x = 7,118.40

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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.