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Finding the Fourth Proportional to 9,138.54, 12,611.40 and 5,159.72

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Solution

The fourth proportional to 9,138.54, 12,611.40 and 5,159.72 is: 7,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.54 : 12,611.40 = 5,159.72 : x
  2. Step 2: Convert to fraction form
    9,138.54/12,611.40 = 5,159.72/x
  3. Step 3: Cross multiply
    9,138.54x = 12,611.40 × 5,159.72
  4. Step 4: Simplify right side
    9,138.54x = 65,071,292.81
  5. Step 5: Solve for x
    x = 65,071,292.81/9,138.54
  6. Step 6: Final answer
    x = 7,120.53

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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.