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Finding the Fourth Proportional to 9,658.34, 14,463 and 8,094.23

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Solution

The fourth proportional to 9,658.34, 14,463 and 8,094.23 is: 12,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.34 : 14,463 = 8,094.23 : x
  2. Step 2: Convert to fraction form
    9,658.34/14,463 = 8,094.23/x
  3. Step 3: Cross multiply
    9,658.34x = 14,463 × 8,094.23
  4. Step 4: Simplify right side
    9,658.34x = 117,066,776.18
  5. Step 5: Solve for x
    x = 117,066,776.18/9,658.34
  6. Step 6: Final answer
    x = 12,120.80

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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.