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Finding the Fourth Proportional to 6,102.51, 9,153.37 and 1,945.50

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Solution

The fourth proportional to 6,102.51, 9,153.37 and 1,945.50 is: 2,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.51 : 9,153.37 = 1,945.50 : x
  2. Step 2: Convert to fraction form
    6,102.51/9,153.37 = 1,945.50/x
  3. Step 3: Cross multiply
    6,102.51x = 9,153.37 × 1,945.50
  4. Step 4: Simplify right side
    6,102.51x = 17,807,849.44
  5. Step 5: Solve for x
    x = 17,807,849.44/6,102.51
  6. Step 6: Final answer
    x = 2,918.12

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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.