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Finding the Fourth Proportional to 6,551.34, 9,825.38 and 4,084.89

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Solution

The fourth proportional to 6,551.34, 9,825.38 and 4,084.89 is: 6,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.34 : 9,825.38 = 4,084.89 : x
  2. Step 2: Convert to fraction form
    6,551.34/9,825.38 = 4,084.89/x
  3. Step 3: Cross multiply
    6,551.34x = 9,825.38 × 4,084.89
  4. Step 4: Simplify right side
    6,551.34x = 40,135,596.51
  5. Step 5: Solve for x
    x = 40,135,596.51/6,551.34
  6. Step 6: Final answer
    x = 6,126.32

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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.