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Finding the Fourth Proportional to 9,302.99, 13,954.59 and 2,729.30

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Solution

The fourth proportional to 9,302.99, 13,954.59 and 2,729.30 is: 4,093.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.99 : 13,954.59 = 2,729.30 : x
  2. Step 2: Convert to fraction form
    9,302.99/13,954.59 = 2,729.30/x
  3. Step 3: Cross multiply
    9,302.99x = 13,954.59 × 2,729.30
  4. Step 4: Simplify right side
    9,302.99x = 38,086,248.84
  5. Step 5: Solve for x
    x = 38,086,248.84/9,302.99
  6. Step 6: Final answer
    x = 4,093.98

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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.