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Finding the Fourth Proportional to 9,594, 14,391 and 2,668.68

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Solution

The fourth proportional to 9,594, 14,391 and 2,668.68 is: 4,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594 : 14,391 = 2,668.68 : x
  2. Step 2: Convert to fraction form
    9,594/14,391 = 2,668.68/x
  3. Step 3: Cross multiply
    9,594x = 14,391 × 2,668.68
  4. Step 4: Simplify right side
    9,594x = 38,404,973.88
  5. Step 5: Solve for x
    x = 38,404,973.88/9,594
  6. Step 6: Final answer
    x = 4,003.02

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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.