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Finding the Fourth Proportional to 9,676.76, 14,493.16 and 9,458.08

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Solution

The fourth proportional to 9,676.76, 14,493.16 and 9,458.08 is: 14,165.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.76 : 14,493.16 = 9,458.08 : x
  2. Step 2: Convert to fraction form
    9,676.76/14,493.16 = 9,458.08/x
  3. Step 3: Cross multiply
    9,676.76x = 14,493.16 × 9,458.08
  4. Step 4: Simplify right side
    9,676.76x = 137,077,466.73
  5. Step 5: Solve for x
    x = 137,077,466.73/9,676.76
  6. Step 6: Final answer
    x = 14,165.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.