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Finding the Fourth Proportional to 6,538.96, 9,023.72 and 3,554.72

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Solution

The fourth proportional to 6,538.96, 9,023.72 and 3,554.72 is: 4,905.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.96 : 9,023.72 = 3,554.72 : x
  2. Step 2: Convert to fraction form
    6,538.96/9,023.72 = 3,554.72/x
  3. Step 3: Cross multiply
    6,538.96x = 9,023.72 × 3,554.72
  4. Step 4: Simplify right side
    6,538.96x = 32,076,797.96
  5. Step 5: Solve for x
    x = 32,076,797.96/6,538.96
  6. Step 6: Final answer
    x = 4,905.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.