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Finding the Fourth Proportional to 9,141.80, 13,713.21 and 2,567.47

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Solution

The fourth proportional to 9,141.80, 13,713.21 and 2,567.47 is: 3,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.80 : 13,713.21 = 2,567.47 : x
  2. Step 2: Convert to fraction form
    9,141.80/13,713.21 = 2,567.47/x
  3. Step 3: Cross multiply
    9,141.80x = 13,713.21 × 2,567.47
  4. Step 4: Simplify right side
    9,141.80x = 35,208,242.44
  5. Step 5: Solve for x
    x = 35,208,242.44/9,141.80
  6. Step 6: Final answer
    x = 3,851.35

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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.