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Finding the Fourth Proportional to 9,567.57, 13,215.89 and 7,979.42

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Solution

The fourth proportional to 9,567.57, 13,215.89 and 7,979.42 is: 11,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.57 : 13,215.89 = 7,979.42 : x
  2. Step 2: Convert to fraction form
    9,567.57/13,215.89 = 7,979.42/x
  3. Step 3: Cross multiply
    9,567.57x = 13,215.89 × 7,979.42
  4. Step 4: Simplify right side
    9,567.57x = 105,455,031.01
  5. Step 5: Solve for x
    x = 105,455,031.01/9,567.57
  6. Step 6: Final answer
    x = 11,022.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.