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Finding the Fourth Proportional to 9,567.56, 14,351.26 and 3,728.36

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Solution

The fourth proportional to 9,567.56, 14,351.26 and 3,728.36 is: 5,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.56 : 14,351.26 = 3,728.36 : x
  2. Step 2: Convert to fraction form
    9,567.56/14,351.26 = 3,728.36/x
  3. Step 3: Cross multiply
    9,567.56x = 14,351.26 × 3,728.36
  4. Step 4: Simplify right side
    9,567.56x = 53,506,663.73
  5. Step 5: Solve for x
    x = 53,506,663.73/9,567.56
  6. Step 6: Final answer
    x = 5,592.51

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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.