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Finding the Fourth Proportional to 9,128.28, 12,597.21 and 5,354.34

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Solution

The fourth proportional to 9,128.28, 12,597.21 and 5,354.34 is: 7,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128.28 : 12,597.21 = 5,354.34 : x
  2. Step 2: Convert to fraction form
    9,128.28/12,597.21 = 5,354.34/x
  3. Step 3: Cross multiply
    9,128.28x = 12,597.21 × 5,354.34
  4. Step 4: Simplify right side
    9,128.28x = 67,449,745.39
  5. Step 5: Solve for x
    x = 67,449,745.39/9,128.28
  6. Step 6: Final answer
    x = 7,389.10

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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.