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Finding the Fourth Proportional to 9,741.80, 14,609.50 and 3,897.05

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Solution

The fourth proportional to 9,741.80, 14,609.50 and 3,897.05 is: 5,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.80 : 14,609.50 = 3,897.05 : x
  2. Step 2: Convert to fraction form
    9,741.80/14,609.50 = 3,897.05/x
  3. Step 3: Cross multiply
    9,741.80x = 14,609.50 × 3,897.05
  4. Step 4: Simplify right side
    9,741.80x = 56,933,869.18
  5. Step 5: Solve for x
    x = 56,933,869.18/9,741.80
  6. Step 6: Final answer
    x = 5,844.28

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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.