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Finding the Fourth Proportional to 9,461.48, 14,127.73 and 8,467.88

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Solution

The fourth proportional to 9,461.48, 14,127.73 and 8,467.88 is: 12,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.48 : 14,127.73 = 8,467.88 : x
  2. Step 2: Convert to fraction form
    9,461.48/14,127.73 = 8,467.88/x
  3. Step 3: Cross multiply
    9,461.48x = 14,127.73 × 8,467.88
  4. Step 4: Simplify right side
    9,461.48x = 119,631,922.31
  5. Step 5: Solve for x
    x = 119,631,922.31/9,461.48
  6. Step 6: Final answer
    x = 12,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.