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Finding the Fourth Proportional to 6,214.10, 9,320.00 and 1,830.51

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Solution

The fourth proportional to 6,214.10, 9,320.00 and 1,830.51 is: 2,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.10 : 9,320.00 = 1,830.51 : x
  2. Step 2: Convert to fraction form
    6,214.10/9,320.00 = 1,830.51/x
  3. Step 3: Cross multiply
    6,214.10x = 9,320.00 × 1,830.51
  4. Step 4: Simplify right side
    6,214.10x = 17,060,344.05
  5. Step 5: Solve for x
    x = 17,060,344.05/6,214.10
  6. Step 6: Final answer
    x = 2,745.43

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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.