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Finding the Fourth Proportional to 9,207, 13,798.31 and 3,657.29

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Solution

The fourth proportional to 9,207, 13,798.31 and 3,657.29 is: 5,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207 : 13,798.31 = 3,657.29 : x
  2. Step 2: Convert to fraction form
    9,207/13,798.31 = 3,657.29/x
  3. Step 3: Cross multiply
    9,207x = 13,798.31 × 3,657.29
  4. Step 4: Simplify right side
    9,207x = 50,464,333.90
  5. Step 5: Solve for x
    x = 50,464,333.90/9,207
  6. Step 6: Final answer
    x = 5,481.08

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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.