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Finding the Fourth Proportional to 9,072.62, 13,602.54 and 4,135.46

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Solution

The fourth proportional to 9,072.62, 13,602.54 and 4,135.46 is: 6,200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.62 : 13,602.54 = 4,135.46 : x
  2. Step 2: Convert to fraction form
    9,072.62/13,602.54 = 4,135.46/x
  3. Step 3: Cross multiply
    9,072.62x = 13,602.54 × 4,135.46
  4. Step 4: Simplify right side
    9,072.62x = 56,252,760.07
  5. Step 5: Solve for x
    x = 56,252,760.07/9,072.62
  6. Step 6: Final answer
    x = 6,200.28

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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.