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Finding the Fourth Proportional to 9,786.65, 14,681.50 and 3,211.34

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Solution

The fourth proportional to 9,786.65, 14,681.50 and 3,211.34 is: 4,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.65 : 14,681.50 = 3,211.34 : x
  2. Step 2: Convert to fraction form
    9,786.65/14,681.50 = 3,211.34/x
  3. Step 3: Cross multiply
    9,786.65x = 14,681.50 × 3,211.34
  4. Step 4: Simplify right side
    9,786.65x = 47,147,206.77
  5. Step 5: Solve for x
    x = 47,147,206.77/9,786.65
  6. Step 6: Final answer
    x = 4,817.50

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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.