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Finding the Fourth Proportional to 26,150.28, 39,225.09 and 6,429

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Solution

The fourth proportional to 26,150.28, 39,225.09 and 6,429 is: 9,643.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,150.28 : 39,225.09 = 6,429 : x
  2. Step 2: Convert to fraction form
    26,150.28/39,225.09 = 6,429/x
  3. Step 3: Cross multiply
    26,150.28x = 39,225.09 × 6,429
  4. Step 4: Simplify right side
    26,150.28x = 252,178,103.61
  5. Step 5: Solve for x
    x = 252,178,103.61/26,150.28
  6. Step 6: Final answer
    x = 9,643.42

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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.