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Finding the Fourth Proportional to 8,973.61, 13,460.91 and 3,427.41

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Solution

The fourth proportional to 8,973.61, 13,460.91 and 3,427.41 is: 5,141.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.61 : 13,460.91 = 3,427.41 : x
  2. Step 2: Convert to fraction form
    8,973.61/13,460.91 = 3,427.41/x
  3. Step 3: Cross multiply
    8,973.61x = 13,460.91 × 3,427.41
  4. Step 4: Simplify right side
    8,973.61x = 46,136,057.54
  5. Step 5: Solve for x
    x = 46,136,057.54/8,973.61
  6. Step 6: Final answer
    x = 5,141.30

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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.