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Finding the Fourth Proportional to 6,208.60, 9,314.40 and 1,826.20

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Solution

The fourth proportional to 6,208.60, 9,314.40 and 1,826.20 is: 2,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.60 : 9,314.40 = 1,826.20 : x
  2. Step 2: Convert to fraction form
    6,208.60/9,314.40 = 1,826.20/x
  3. Step 3: Cross multiply
    6,208.60x = 9,314.40 × 1,826.20
  4. Step 4: Simplify right side
    6,208.60x = 17,009,957.28
  5. Step 5: Solve for x
    x = 17,009,957.28/6,208.60
  6. Step 6: Final answer
    x = 2,739.74

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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.