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Finding the Fourth Proportional to 6,448.68, 9,673.56 and 2,289.60

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Solution

The fourth proportional to 6,448.68, 9,673.56 and 2,289.60 is: 3,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.68 : 9,673.56 = 2,289.60 : x
  2. Step 2: Convert to fraction form
    6,448.68/9,673.56 = 2,289.60/x
  3. Step 3: Cross multiply
    6,448.68x = 9,673.56 × 2,289.60
  4. Step 4: Simplify right side
    6,448.68x = 22,148,582.98
  5. Step 5: Solve for x
    x = 22,148,582.98/6,448.68
  6. Step 6: Final answer
    x = 3,434.59

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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.