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Finding the Fourth Proportional to 9,757.18, 14,638.50 and 3,917.89

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Solution

The fourth proportional to 9,757.18, 14,638.50 and 3,917.89 is: 5,877.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.18 : 14,638.50 = 3,917.89 : x
  2. Step 2: Convert to fraction form
    9,757.18/14,638.50 = 3,917.89/x
  3. Step 3: Cross multiply
    9,757.18x = 14,638.50 × 3,917.89
  4. Step 4: Simplify right side
    9,757.18x = 57,352,032.77
  5. Step 5: Solve for x
    x = 57,352,032.77/9,757.18
  6. Step 6: Final answer
    x = 5,877.93

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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.