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Finding the Fourth Proportional to 9,947.16, 14,913.21 and 8,576.64

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Solution

The fourth proportional to 9,947.16, 14,913.21 and 8,576.64 is: 12,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.16 : 14,913.21 = 8,576.64 : x
  2. Step 2: Convert to fraction form
    9,947.16/14,913.21 = 8,576.64/x
  3. Step 3: Cross multiply
    9,947.16x = 14,913.21 × 8,576.64
  4. Step 4: Simplify right side
    9,947.16x = 127,905,233.41
  5. Step 5: Solve for x
    x = 127,905,233.41/9,947.16
  6. Step 6: Final answer
    x = 12,858.47

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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.