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Finding the Fourth Proportional to 9,420.38, 13,000.73 and 5,228.63

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Solution

The fourth proportional to 9,420.38, 13,000.73 and 5,228.63 is: 7,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.38 : 13,000.73 = 5,228.63 : x
  2. Step 2: Convert to fraction form
    9,420.38/13,000.73 = 5,228.63/x
  3. Step 3: Cross multiply
    9,420.38x = 13,000.73 × 5,228.63
  4. Step 4: Simplify right side
    9,420.38x = 67,975,915.75
  5. Step 5: Solve for x
    x = 67,975,915.75/9,420.38
  6. Step 6: Final answer
    x = 7,215.84

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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.