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Finding the Fourth Proportional to 9,137.10, 13,709.70 and 4,204.20

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Solution

The fourth proportional to 9,137.10, 13,709.70 and 4,204.20 is: 6,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.10 : 13,709.70 = 4,204.20 : x
  2. Step 2: Convert to fraction form
    9,137.10/13,709.70 = 4,204.20/x
  3. Step 3: Cross multiply
    9,137.10x = 13,709.70 × 4,204.20
  4. Step 4: Simplify right side
    9,137.10x = 57,638,320.74
  5. Step 5: Solve for x
    x = 57,638,320.74/9,137.10
  6. Step 6: Final answer
    x = 6,308.16

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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.