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Finding the Fourth Proportional to 9,510.46, 14,261.37 and 3,960.50

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Solution

The fourth proportional to 9,510.46, 14,261.37 and 3,960.50 is: 5,938.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.46 : 14,261.37 = 3,960.50 : x
  2. Step 2: Convert to fraction form
    9,510.46/14,261.37 = 3,960.50/x
  3. Step 3: Cross multiply
    9,510.46x = 14,261.37 × 3,960.50
  4. Step 4: Simplify right side
    9,510.46x = 56,482,069.73
  5. Step 5: Solve for x
    x = 56,482,069.73/9,510.46
  6. Step 6: Final answer
    x = 5,938.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.