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Finding the Fourth Proportional to 9,668.16, 14,503.68 and 3,092.40

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Solution

The fourth proportional to 9,668.16, 14,503.68 and 3,092.40 is: 4,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.16 : 14,503.68 = 3,092.40 : x
  2. Step 2: Convert to fraction form
    9,668.16/14,503.68 = 3,092.40/x
  3. Step 3: Cross multiply
    9,668.16x = 14,503.68 × 3,092.40
  4. Step 4: Simplify right side
    9,668.16x = 44,851,180.03
  5. Step 5: Solve for x
    x = 44,851,180.03/9,668.16
  6. Step 6: Final answer
    x = 4,639.06

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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.