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Finding the Fourth Proportional to 9,427.98, 12,998.23 and 7,836

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Solution

The fourth proportional to 9,427.98, 12,998.23 and 7,836 is: 10,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.98 : 12,998.23 = 7,836 : x
  2. Step 2: Convert to fraction form
    9,427.98/12,998.23 = 7,836/x
  3. Step 3: Cross multiply
    9,427.98x = 12,998.23 × 7,836
  4. Step 4: Simplify right side
    9,427.98x = 101,854,130.28
  5. Step 5: Solve for x
    x = 101,854,130.28/9,427.98
  6. Step 6: Final answer
    x = 10,803.39

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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.