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Finding the Fourth Proportional to 6,214.44, 9,323.12 and 2,054.45

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Solution

The fourth proportional to 6,214.44, 9,323.12 and 2,054.45 is: 3,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.44 : 9,323.12 = 2,054.45 : x
  2. Step 2: Convert to fraction form
    6,214.44/9,323.12 = 2,054.45/x
  3. Step 3: Cross multiply
    6,214.44x = 9,323.12 × 2,054.45
  4. Step 4: Simplify right side
    6,214.44x = 19,153,852.18
  5. Step 5: Solve for x
    x = 19,153,852.18/6,214.44
  6. Step 6: Final answer
    x = 3,082.15

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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.