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Finding the Fourth Proportional to 9,203.58, 13,805.28 and 6,097.50

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Solution

The fourth proportional to 9,203.58, 13,805.28 and 6,097.50 is: 9,146.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.58 : 13,805.28 = 6,097.50 : x
  2. Step 2: Convert to fraction form
    9,203.58/13,805.28 = 6,097.50/x
  3. Step 3: Cross multiply
    9,203.58x = 13,805.28 × 6,097.50
  4. Step 4: Simplify right side
    9,203.58x = 84,177,694.80
  5. Step 5: Solve for x
    x = 84,177,694.80/9,203.58
  6. Step 6: Final answer
    x = 9,146.19

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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.