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Finding the Fourth Proportional to 6,353.07, 9,525.75 and 2,842.43

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Solution

The fourth proportional to 6,353.07, 9,525.75 and 2,842.43 is: 4,261.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.07 : 9,525.75 = 2,842.43 : x
  2. Step 2: Convert to fraction form
    6,353.07/9,525.75 = 2,842.43/x
  3. Step 3: Cross multiply
    6,353.07x = 9,525.75 × 2,842.43
  4. Step 4: Simplify right side
    6,353.07x = 27,076,253.13
  5. Step 5: Solve for x
    x = 27,076,253.13/6,353.07
  6. Step 6: Final answer
    x = 4,261.91

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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.