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Finding the Fourth Proportional to 9,698.69, 14,546.18 and 2,676.96

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Solution

The fourth proportional to 9,698.69, 14,546.18 and 2,676.96 is: 4,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.69 : 14,546.18 = 2,676.96 : x
  2. Step 2: Convert to fraction form
    9,698.69/14,546.18 = 2,676.96/x
  3. Step 3: Cross multiply
    9,698.69x = 14,546.18 × 2,676.96
  4. Step 4: Simplify right side
    9,698.69x = 38,939,548.71
  5. Step 5: Solve for x
    x = 38,939,548.71/9,698.69
  6. Step 6: Final answer
    x = 4,014.93

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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.