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Finding the Fourth Proportional to 9,131.88, 12,602.01 and 4,940.13

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Solution

The fourth proportional to 9,131.88, 12,602.01 and 4,940.13 is: 6,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.88 : 12,602.01 = 4,940.13 : x
  2. Step 2: Convert to fraction form
    9,131.88/12,602.01 = 4,940.13/x
  3. Step 3: Cross multiply
    9,131.88x = 12,602.01 × 4,940.13
  4. Step 4: Simplify right side
    9,131.88x = 62,255,567.66
  5. Step 5: Solve for x
    x = 62,255,567.66/9,131.88
  6. Step 6: Final answer
    x = 6,817.39

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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.