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Finding the Fourth Proportional to 9,672.38, 14,509.34 and 4,125.78

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Solution

The fourth proportional to 9,672.38, 14,509.34 and 4,125.78 is: 6,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.38 : 14,509.34 = 4,125.78 : x
  2. Step 2: Convert to fraction form
    9,672.38/14,509.34 = 4,125.78/x
  3. Step 3: Cross multiply
    9,672.38x = 14,509.34 × 4,125.78
  4. Step 4: Simplify right side
    9,672.38x = 59,862,324.16
  5. Step 5: Solve for x
    x = 59,862,324.16/9,672.38
  6. Step 6: Final answer
    x = 6,189.00

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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.