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Finding the Fourth Proportional to 9,960.81, 14,938.25 and 3,385.50

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Solution

The fourth proportional to 9,960.81, 14,938.25 and 3,385.50 is: 5,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.81 : 14,938.25 = 3,385.50 : x
  2. Step 2: Convert to fraction form
    9,960.81/14,938.25 = 3,385.50/x
  3. Step 3: Cross multiply
    9,960.81x = 14,938.25 × 3,385.50
  4. Step 4: Simplify right side
    9,960.81x = 50,573,428.45
  5. Step 5: Solve for x
    x = 50,573,428.45/9,960.81
  6. Step 6: Final answer
    x = 5,077.24

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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.