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Finding the Fourth Proportional to 35,712.36, 53,564.22 and 9,419.09

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Solution

The fourth proportional to 35,712.36, 53,564.22 and 9,419.09 is: 14,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712.36 : 53,564.22 = 9,419.09 : x
  2. Step 2: Convert to fraction form
    35,712.36/53,564.22 = 9,419.09/x
  3. Step 3: Cross multiply
    35,712.36x = 53,564.22 × 9,419.09
  4. Step 4: Simplify right side
    35,712.36x = 504,525,941.14
  5. Step 5: Solve for x
    x = 504,525,941.14/35,712.36
  6. Step 6: Final answer
    x = 14,127.49

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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.