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Finding the Fourth Proportional to 6,214.14, 8,575.56 and 3,419.64

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Solution

The fourth proportional to 6,214.14, 8,575.56 and 3,419.64 is: 4,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.14 : 8,575.56 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    6,214.14/8,575.56 = 3,419.64/x
  3. Step 3: Cross multiply
    6,214.14x = 8,575.56 × 3,419.64
  4. Step 4: Simplify right side
    6,214.14x = 29,325,328.00
  5. Step 5: Solve for x
    x = 29,325,328.00/6,214.14
  6. Step 6: Final answer
    x = 4,719.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.