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Finding the Fourth Proportional to 9,713.70, 14,567.46 and 3,138.33

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Solution

The fourth proportional to 9,713.70, 14,567.46 and 3,138.33 is: 4,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.70 : 14,567.46 = 3,138.33 : x
  2. Step 2: Convert to fraction form
    9,713.70/14,567.46 = 3,138.33/x
  3. Step 3: Cross multiply
    9,713.70x = 14,567.46 × 3,138.33
  4. Step 4: Simplify right side
    9,713.70x = 45,717,496.74
  5. Step 5: Solve for x
    x = 45,717,496.74/9,713.70
  6. Step 6: Final answer
    x = 4,706.50

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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.