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Finding the Fourth Proportional to 9,868.56, 13,611.42 and 7,516.32

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Solution

The fourth proportional to 9,868.56, 13,611.42 and 7,516.32 is: 10,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.56 : 13,611.42 = 7,516.32 : x
  2. Step 2: Convert to fraction form
    9,868.56/13,611.42 = 7,516.32/x
  3. Step 3: Cross multiply
    9,868.56x = 13,611.42 × 7,516.32
  4. Step 4: Simplify right side
    9,868.56x = 102,307,788.37
  5. Step 5: Solve for x
    x = 102,307,788.37/9,868.56
  6. Step 6: Final answer
    x = 10,367.04

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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.