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Finding the Fourth Proportional to 10,347.94, 15,446.79 and 9,576.98

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Solution

The fourth proportional to 10,347.94, 15,446.79 and 9,576.98 is: 14,295.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.94 : 15,446.79 = 9,576.98 : x
  2. Step 2: Convert to fraction form
    10,347.94/15,446.79 = 9,576.98/x
  3. Step 3: Cross multiply
    10,347.94x = 15,446.79 × 9,576.98
  4. Step 4: Simplify right side
    10,347.94x = 147,933,551.01
  5. Step 5: Solve for x
    x = 147,933,551.01/10,347.94
  6. Step 6: Final answer
    x = 14,295.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.