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Finding the Fourth Proportional to 9,191.98, 12,602.30 and 9,025.90

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Solution

The fourth proportional to 9,191.98, 12,602.30 and 9,025.90 is: 12,374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.98 : 12,602.30 = 9,025.90 : x
  2. Step 2: Convert to fraction form
    9,191.98/12,602.30 = 9,025.90/x
  3. Step 3: Cross multiply
    9,191.98x = 12,602.30 × 9,025.90
  4. Step 4: Simplify right side
    9,191.98x = 113,747,090.63
  5. Step 5: Solve for x
    x = 113,747,090.63/9,191.98
  6. Step 6: Final answer
    x = 12,374.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.