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Finding the Fourth Proportional to 25,961, 38,958.78 and 9,545

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Solution

The fourth proportional to 25,961, 38,958.78 and 9,545 is: 14,323.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,961 : 38,958.78 = 9,545 : x
  2. Step 2: Convert to fraction form
    25,961/38,958.78 = 9,545/x
  3. Step 3: Cross multiply
    25,961x = 38,958.78 × 9,545
  4. Step 4: Simplify right side
    25,961x = 371,861,555.10
  5. Step 5: Solve for x
    x = 371,861,555.10/25,961
  6. Step 6: Final answer
    x = 14,323.85

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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.