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Finding the Fourth Proportional to 9,097.98, 12,544.38 and 6,107.46

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Solution

The fourth proportional to 9,097.98, 12,544.38 and 6,107.46 is: 8,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.98 : 12,544.38 = 6,107.46 : x
  2. Step 2: Convert to fraction form
    9,097.98/12,544.38 = 6,107.46/x
  3. Step 3: Cross multiply
    9,097.98x = 12,544.38 × 6,107.46
  4. Step 4: Simplify right side
    9,097.98x = 76,614,299.07
  5. Step 5: Solve for x
    x = 76,614,299.07/9,097.98
  6. Step 6: Final answer
    x = 8,421.02

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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.