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Finding the Fourth Proportional to 9,516.64, 14,272.20 and 3,671.89

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Solution

The fourth proportional to 9,516.64, 14,272.20 and 3,671.89 is: 5,506.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,516.64 : 14,272.20 = 3,671.89 : x
  2. Step 2: Convert to fraction form
    9,516.64/14,272.20 = 3,671.89/x
  3. Step 3: Cross multiply
    9,516.64x = 14,272.20 × 3,671.89
  4. Step 4: Simplify right side
    9,516.64x = 52,405,948.46
  5. Step 5: Solve for x
    x = 52,405,948.46/9,516.64
  6. Step 6: Final answer
    x = 5,506.77

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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.