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Finding the Fourth Proportional to 9,709.80, 14,564.70 and 3,863.40

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Solution

The fourth proportional to 9,709.80, 14,564.70 and 3,863.40 is: 5,795.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.80 : 14,564.70 = 3,863.40 : x
  2. Step 2: Convert to fraction form
    9,709.80/14,564.70 = 3,863.40/x
  3. Step 3: Cross multiply
    9,709.80x = 14,564.70 × 3,863.40
  4. Step 4: Simplify right side
    9,709.80x = 56,269,261.98
  5. Step 5: Solve for x
    x = 56,269,261.98/9,709.80
  6. Step 6: Final answer
    x = 5,795.10

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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.