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Finding the Fourth Proportional to 9,415.28, 12,998.40 and 6,435.44

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Solution

The fourth proportional to 9,415.28, 12,998.40 and 6,435.44 is: 8,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.28 : 12,998.40 = 6,435.44 : x
  2. Step 2: Convert to fraction form
    9,415.28/12,998.40 = 6,435.44/x
  3. Step 3: Cross multiply
    9,415.28x = 12,998.40 × 6,435.44
  4. Step 4: Simplify right side
    9,415.28x = 83,650,423.30
  5. Step 5: Solve for x
    x = 83,650,423.30/9,415.28
  6. Step 6: Final answer
    x = 8,884.54

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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.