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Finding the Fourth Proportional to 9,668.01, 14,494.95 and 3,090.42

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Solution

The fourth proportional to 9,668.01, 14,494.95 and 3,090.42 is: 4,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.01 : 14,494.95 = 3,090.42 : x
  2. Step 2: Convert to fraction form
    9,668.01/14,494.95 = 3,090.42/x
  3. Step 3: Cross multiply
    9,668.01x = 14,494.95 × 3,090.42
  4. Step 4: Simplify right side
    9,668.01x = 44,795,483.38
  5. Step 5: Solve for x
    x = 44,795,483.38/9,668.01
  6. Step 6: Final answer
    x = 4,633.37

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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.