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Finding the Fourth Proportional to 9,675.68, 14,509.89 and 4,129.54

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Solution

The fourth proportional to 9,675.68, 14,509.89 and 4,129.54 is: 6,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.68 : 14,509.89 = 4,129.54 : x
  2. Step 2: Convert to fraction form
    9,675.68/14,509.89 = 4,129.54/x
  3. Step 3: Cross multiply
    9,675.68x = 14,509.89 × 4,129.54
  4. Step 4: Simplify right side
    9,675.68x = 59,919,134.88
  5. Step 5: Solve for x
    x = 59,919,134.88/9,675.68
  6. Step 6: Final answer
    x = 6,192.76

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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.