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Finding the Fourth Proportional to 9,676.30, 14,515.91 and 4,129.63

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Solution

The fourth proportional to 9,676.30, 14,515.91 and 4,129.63 is: 6,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.30 : 14,515.91 = 4,129.63 : x
  2. Step 2: Convert to fraction form
    9,676.30/14,515.91 = 4,129.63/x
  3. Step 3: Cross multiply
    9,676.30x = 14,515.91 × 4,129.63
  4. Step 4: Simplify right side
    9,676.30x = 59,945,337.41
  5. Step 5: Solve for x
    x = 59,945,337.41/9,676.30
  6. Step 6: Final answer
    x = 6,195.07

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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.