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Finding the Fourth Proportional to 9,713.81, 14,577.80 and 3,872.09

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Solution

The fourth proportional to 9,713.81, 14,577.80 and 3,872.09 is: 5,810.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.81 : 14,577.80 = 3,872.09 : x
  2. Step 2: Convert to fraction form
    9,713.81/14,577.80 = 3,872.09/x
  3. Step 3: Cross multiply
    9,713.81x = 14,577.80 × 3,872.09
  4. Step 4: Simplify right side
    9,713.81x = 56,446,461.35
  5. Step 5: Solve for x
    x = 56,446,461.35/9,713.81
  6. Step 6: Final answer
    x = 5,810.95

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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.