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Finding the Fourth Proportional to 6,538.69, 9,023.02 and 3,554.50

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Solution

The fourth proportional to 6,538.69, 9,023.02 and 3,554.50 is: 4,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.69 : 9,023.02 = 3,554.50 : x
  2. Step 2: Convert to fraction form
    6,538.69/9,023.02 = 3,554.50/x
  3. Step 3: Cross multiply
    6,538.69x = 9,023.02 × 3,554.50
  4. Step 4: Simplify right side
    6,538.69x = 32,072,306.82
  5. Step 5: Solve for x
    x = 32,072,306.82/6,538.69
  6. Step 6: Final answer
    x = 4,905.00

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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.