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Finding the Fourth Proportional to 9,630.78, 13,289.85 and 5,438.22

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Solution

The fourth proportional to 9,630.78, 13,289.85 and 5,438.22 is: 7,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,630.78 : 13,289.85 = 5,438.22 : x
  2. Step 2: Convert to fraction form
    9,630.78/13,289.85 = 5,438.22/x
  3. Step 3: Cross multiply
    9,630.78x = 13,289.85 × 5,438.22
  4. Step 4: Simplify right side
    9,630.78x = 72,273,128.07
  5. Step 5: Solve for x
    x = 72,273,128.07/9,630.78
  6. Step 6: Final answer
    x = 7,504.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.