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Finding the Fourth Proportional to 6,549.54, 9,825.93 and 6,009.54

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Solution

The fourth proportional to 6,549.54, 9,825.93 and 6,009.54 is: 9,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.54 : 9,825.93 = 6,009.54 : x
  2. Step 2: Convert to fraction form
    6,549.54/9,825.93 = 6,009.54/x
  3. Step 3: Cross multiply
    6,549.54x = 9,825.93 × 6,009.54
  4. Step 4: Simplify right side
    6,549.54x = 59,049,319.37
  5. Step 5: Solve for x
    x = 59,049,319.37/6,549.54
  6. Step 6: Final answer
    x = 9,015.80

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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.