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Finding the Fourth Proportional to 9,863, 13,611.06 and 5,447

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Solution

The fourth proportional to 9,863, 13,611.06 and 5,447 is: 7,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863 : 13,611.06 = 5,447 : x
  2. Step 2: Convert to fraction form
    9,863/13,611.06 = 5,447/x
  3. Step 3: Cross multiply
    9,863x = 13,611.06 × 5,447
  4. Step 4: Simplify right side
    9,863x = 74,139,443.82
  5. Step 5: Solve for x
    x = 74,139,443.82/9,863
  6. Step 6: Final answer
    x = 7,516.93

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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.