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Finding the Fourth Proportional to 4,673.34, 7,009.26 and 1,295.33

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Solution

The fourth proportional to 4,673.34, 7,009.26 and 1,295.33 is: 1,942.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.34 : 7,009.26 = 1,295.33 : x
  2. Step 2: Convert to fraction form
    4,673.34/7,009.26 = 1,295.33/x
  3. Step 3: Cross multiply
    4,673.34x = 7,009.26 × 1,295.33
  4. Step 4: Simplify right side
    4,673.34x = 9,079,269.71
  5. Step 5: Solve for x
    x = 9,079,269.71/4,673.34
  6. Step 6: Final answer
    x = 1,942.78

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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.