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Finding the Fourth Proportional to 35,740.18, 53,609.94 and 9,086.23

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Solution

The fourth proportional to 35,740.18, 53,609.94 and 9,086.23 is: 13,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,740.18 : 53,609.94 = 9,086.23 : x
  2. Step 2: Convert to fraction form
    35,740.18/53,609.94 = 9,086.23/x
  3. Step 3: Cross multiply
    35,740.18x = 53,609.94 × 9,086.23
  4. Step 4: Simplify right side
    35,740.18x = 487,112,245.13
  5. Step 5: Solve for x
    x = 487,112,245.13/35,740.18
  6. Step 6: Final answer
    x = 13,629.26

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