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Finding the Fourth Proportional to 6,420.22, 8,856.62 and 4,185.84

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Solution

The fourth proportional to 6,420.22, 8,856.62 and 4,185.84 is: 5,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.22 : 8,856.62 = 4,185.84 : x
  2. Step 2: Convert to fraction form
    6,420.22/8,856.62 = 4,185.84/x
  3. Step 3: Cross multiply
    6,420.22x = 8,856.62 × 4,185.84
  4. Step 4: Simplify right side
    6,420.22x = 37,072,394.26
  5. Step 5: Solve for x
    x = 37,072,394.26/6,420.22
  6. Step 6: Final answer
    x = 5,774.32

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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.