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Finding the Fourth Proportional to 9,516.41, 14,274.55 and 7,438.16

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Solution

The fourth proportional to 9,516.41, 14,274.55 and 7,438.16 is: 11,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.41 : 14,274.55 = 7,438.16 : x
  2. Step 2: Convert to fraction form
    9,516.41/14,274.55 = 7,438.16/x
  3. Step 3: Cross multiply
    9,516.41x = 14,274.55 × 7,438.16
  4. Step 4: Simplify right side
    9,516.41x = 106,176,431.81
  5. Step 5: Solve for x
    x = 106,176,431.81/9,516.41
  6. Step 6: Final answer
    x = 11,157.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.