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Finding the Fourth Proportional to 9,608, 14,416.32 and 5,504

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Solution

The fourth proportional to 9,608, 14,416.32 and 5,504 is: 8,258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608 : 14,416.32 = 5,504 : x
  2. Step 2: Convert to fraction form
    9,608/14,416.32 = 5,504/x
  3. Step 3: Cross multiply
    9,608x = 14,416.32 × 5,504
  4. Step 4: Simplify right side
    9,608x = 79,347,425.28
  5. Step 5: Solve for x
    x = 79,347,425.28/9,608
  6. Step 6: Final answer
    x = 8,258.47

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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.