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Finding the Fourth Proportional to 9,525.81, 13,141.23 and 6,169.74

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Solution

The fourth proportional to 9,525.81, 13,141.23 and 6,169.74 is: 8,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.81 : 13,141.23 = 6,169.74 : x
  2. Step 2: Convert to fraction form
    9,525.81/13,141.23 = 6,169.74/x
  3. Step 3: Cross multiply
    9,525.81x = 13,141.23 × 6,169.74
  4. Step 4: Simplify right side
    9,525.81x = 81,077,972.38
  5. Step 5: Solve for x
    x = 81,077,972.38/9,525.81
  6. Step 6: Final answer
    x = 8,511.40

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Why These Related Problems?

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