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Finding the Fourth Proportional to 9,676.89, 14,516.75 and 3,435.10

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Solution

The fourth proportional to 9,676.89, 14,516.75 and 3,435.10 is: 5,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.89 : 14,516.75 = 3,435.10 : x
  2. Step 2: Convert to fraction form
    9,676.89/14,516.75 = 3,435.10/x
  3. Step 3: Cross multiply
    9,676.89x = 14,516.75 × 3,435.10
  4. Step 4: Simplify right side
    9,676.89x = 49,866,460.22
  5. Step 5: Solve for x
    x = 49,866,460.22/9,676.89
  6. Step 6: Final answer
    x = 5,153.15

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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.