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Finding the Fourth Proportional to 6,153.06, 9,230.12 and 1,937.28

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Solution

The fourth proportional to 6,153.06, 9,230.12 and 1,937.28 is: 2,906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.06 : 9,230.12 = 1,937.28 : x
  2. Step 2: Convert to fraction form
    6,153.06/9,230.12 = 1,937.28/x
  3. Step 3: Cross multiply
    6,153.06x = 9,230.12 × 1,937.28
  4. Step 4: Simplify right side
    6,153.06x = 17,881,317.19
  5. Step 5: Solve for x
    x = 17,881,317.19/6,153.06
  6. Step 6: Final answer
    x = 2,906.09

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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.