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Finding the Fourth Proportional to 6,729.58, 9,282.98 and 4,040.08

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Solution

The fourth proportional to 6,729.58, 9,282.98 and 4,040.08 is: 5,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.58 : 9,282.98 = 4,040.08 : x
  2. Step 2: Convert to fraction form
    6,729.58/9,282.98 = 4,040.08/x
  3. Step 3: Cross multiply
    6,729.58x = 9,282.98 × 4,040.08
  4. Step 4: Simplify right side
    6,729.58x = 37,503,981.84
  5. Step 5: Solve for x
    x = 37,503,981.84/6,729.58
  6. Step 6: Final answer
    x = 5,573.00

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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.