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Finding the Fourth Proportional to 9,308.51, 12,846.82 and 5,531.70

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Solution

The fourth proportional to 9,308.51, 12,846.82 and 5,531.70 is: 7,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.51 : 12,846.82 = 5,531.70 : x
  2. Step 2: Convert to fraction form
    9,308.51/12,846.82 = 5,531.70/x
  3. Step 3: Cross multiply
    9,308.51x = 12,846.82 × 5,531.70
  4. Step 4: Simplify right side
    9,308.51x = 71,064,754.19
  5. Step 5: Solve for x
    x = 71,064,754.19/9,308.51
  6. Step 6: Final answer
    x = 7,634.39

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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.