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Finding the Fourth Proportional to 9,305.53, 13,959 and 3,462.19

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Solution

The fourth proportional to 9,305.53, 13,959 and 3,462.19 is: 5,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.53 : 13,959 = 3,462.19 : x
  2. Step 2: Convert to fraction form
    9,305.53/13,959 = 3,462.19/x
  3. Step 3: Cross multiply
    9,305.53x = 13,959 × 3,462.19
  4. Step 4: Simplify right side
    9,305.53x = 48,328,675.31
  5. Step 5: Solve for x
    x = 48,328,675.31/9,305.53
  6. Step 6: Final answer
    x = 5,193.54

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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.