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Finding the Fourth Proportional to 9,576.34, 14,349.82 and 6,444.76

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Solution

The fourth proportional to 9,576.34, 14,349.82 and 6,444.76 is: 9,657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.34 : 14,349.82 = 6,444.76 : x
  2. Step 2: Convert to fraction form
    9,576.34/14,349.82 = 6,444.76/x
  3. Step 3: Cross multiply
    9,576.34x = 14,349.82 × 6,444.76
  4. Step 4: Simplify right side
    9,576.34x = 92,481,145.94
  5. Step 5: Solve for x
    x = 92,481,145.94/9,576.34
  6. Step 6: Final answer
    x = 9,657.25

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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.