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Finding the Fourth Proportional to 6,268.02, 9,402.27 and 1,886.10

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Solution

The fourth proportional to 6,268.02, 9,402.27 and 1,886.10 is: 2,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.02 : 9,402.27 = 1,886.10 : x
  2. Step 2: Convert to fraction form
    6,268.02/9,402.27 = 1,886.10/x
  3. Step 3: Cross multiply
    6,268.02x = 9,402.27 × 1,886.10
  4. Step 4: Simplify right side
    6,268.02x = 17,733,621.45
  5. Step 5: Solve for x
    x = 17,733,621.45/6,268.02
  6. Step 6: Final answer
    x = 2,829.22

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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.