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Finding the Fourth Proportional to 6,448.36, 9,672.54 and 4,256.58

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Solution

The fourth proportional to 6,448.36, 9,672.54 and 4,256.58 is: 6,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.36 : 9,672.54 = 4,256.58 : x
  2. Step 2: Convert to fraction form
    6,448.36/9,672.54 = 4,256.58/x
  3. Step 3: Cross multiply
    6,448.36x = 9,672.54 × 4,256.58
  4. Step 4: Simplify right side
    6,448.36x = 41,171,920.00
  5. Step 5: Solve for x
    x = 41,171,920.00/6,448.36
  6. Step 6: Final answer
    x = 6,384.87

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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.