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Finding the Fourth Proportional to 9,567.70, 14,357.14 and 4,020.64

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Solution

The fourth proportional to 9,567.70, 14,357.14 and 4,020.64 is: 6,033.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.70 : 14,357.14 = 4,020.64 : x
  2. Step 2: Convert to fraction form
    9,567.70/14,357.14 = 4,020.64/x
  3. Step 3: Cross multiply
    9,567.70x = 14,357.14 × 4,020.64
  4. Step 4: Simplify right side
    9,567.70x = 57,724,891.37
  5. Step 5: Solve for x
    x = 57,724,891.37/9,567.70
  6. Step 6: Final answer
    x = 6,033.31

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