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Finding the Fourth Proportional to 9,676.94, 14,515.38 and 6,389.25

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Solution

The fourth proportional to 9,676.94, 14,515.38 and 6,389.25 is: 9,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.94 : 14,515.38 = 6,389.25 : x
  2. Step 2: Convert to fraction form
    9,676.94/14,515.38 = 6,389.25/x
  3. Step 3: Cross multiply
    9,676.94x = 14,515.38 × 6,389.25
  4. Step 4: Simplify right side
    9,676.94x = 92,742,391.67
  5. Step 5: Solve for x
    x = 92,742,391.67/9,676.94
  6. Step 6: Final answer
    x = 9,583.86

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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.