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Finding the Fourth Proportional to 9,714.44, 14,573.10 and 3,557

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Solution

The fourth proportional to 9,714.44, 14,573.10 and 3,557 is: 5,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.44 : 14,573.10 = 3,557 : x
  2. Step 2: Convert to fraction form
    9,714.44/14,573.10 = 3,557/x
  3. Step 3: Cross multiply
    9,714.44x = 14,573.10 × 3,557
  4. Step 4: Simplify right side
    9,714.44x = 51,836,516.70
  5. Step 5: Solve for x
    x = 51,836,516.70/9,714.44
  6. Step 6: Final answer
    x = 5,336.03

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Why These Related Problems?

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