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Finding the Fourth Proportional to 35,842.02, 53,765.45 and 9,546.99

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Solution

The fourth proportional to 35,842.02, 53,765.45 and 9,546.99 is: 14,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.02 : 53,765.45 = 9,546.99 : x
  2. Step 2: Convert to fraction form
    35,842.02/53,765.45 = 9,546.99/x
  3. Step 3: Cross multiply
    35,842.02x = 53,765.45 × 9,546.99
  4. Step 4: Simplify right side
    35,842.02x = 513,298,213.50
  5. Step 5: Solve for x
    x = 513,298,213.50/35,842.02
  6. Step 6: Final answer
    x = 14,321.13

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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.