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Finding the Fourth Proportional to 8,946.54, 13,393.08 and 5,425.88

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Solution

The fourth proportional to 8,946.54, 13,393.08 and 5,425.88 is: 8,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.54 : 13,393.08 = 5,425.88 : x
  2. Step 2: Convert to fraction form
    8,946.54/13,393.08 = 5,425.88/x
  3. Step 3: Cross multiply
    8,946.54x = 13,393.08 × 5,425.88
  4. Step 4: Simplify right side
    8,946.54x = 72,669,177.95
  5. Step 5: Solve for x
    x = 72,669,177.95/8,946.54
  6. Step 6: Final answer
    x = 8,122.60

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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.