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Finding the Fourth Proportional to 6,549.06, 9,038.49 and 3,754.50

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Solution

The fourth proportional to 6,549.06, 9,038.49 and 3,754.50 is: 5,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.06 : 9,038.49 = 3,754.50 : x
  2. Step 2: Convert to fraction form
    6,549.06/9,038.49 = 3,754.50/x
  3. Step 3: Cross multiply
    6,549.06x = 9,038.49 × 3,754.50
  4. Step 4: Simplify right side
    6,549.06x = 33,935,010.71
  5. Step 5: Solve for x
    x = 33,935,010.71/6,549.06
  6. Step 6: Final answer
    x = 5,181.66

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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.