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Finding the Fourth Proportional to 9,742.88, 14,615.03 and 3,328.90

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Solution

The fourth proportional to 9,742.88, 14,615.03 and 3,328.90 is: 4,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.88 : 14,615.03 = 3,328.90 : x
  2. Step 2: Convert to fraction form
    9,742.88/14,615.03 = 3,328.90/x
  3. Step 3: Cross multiply
    9,742.88x = 14,615.03 × 3,328.90
  4. Step 4: Simplify right side
    9,742.88x = 48,651,945.15
  5. Step 5: Solve for x
    x = 48,651,945.15/9,742.88
  6. Step 6: Final answer
    x = 4,993.59

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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.