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Finding the Fourth Proportional to 6,032.96, 9,050.56 and 1,928

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Solution

The fourth proportional to 6,032.96, 9,050.56 and 1,928 is: 2,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.96 : 9,050.56 = 1,928 : x
  2. Step 2: Convert to fraction form
    6,032.96/9,050.56 = 1,928/x
  3. Step 3: Cross multiply
    6,032.96x = 9,050.56 × 1,928
  4. Step 4: Simplify right side
    6,032.96x = 17,449,479.68
  5. Step 5: Solve for x
    x = 17,449,479.68/6,032.96
  6. Step 6: Final answer
    x = 2,892.36

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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.