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Finding the Fourth Proportional to 35,943.22, 53,914.82 and 9,647.96

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Solution

The fourth proportional to 35,943.22, 53,914.82 and 9,647.96 is: 14,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,943.22 : 53,914.82 = 9,647.96 : x
  2. Step 2: Convert to fraction form
    35,943.22/53,914.82 = 9,647.96/x
  3. Step 3: Cross multiply
    35,943.22x = 53,914.82 × 9,647.96
  4. Step 4: Simplify right side
    35,943.22x = 520,167,708.95
  5. Step 5: Solve for x
    x = 520,167,708.95/35,943.22
  6. Step 6: Final answer
    x = 14,471.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.