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Finding the Fourth Proportional to 8,966.90, 13,450.25 and 3,123.50

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Solution

The fourth proportional to 8,966.90, 13,450.25 and 3,123.50 is: 4,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.90 : 13,450.25 = 3,123.50 : x
  2. Step 2: Convert to fraction form
    8,966.90/13,450.25 = 3,123.50/x
  3. Step 3: Cross multiply
    8,966.90x = 13,450.25 × 3,123.50
  4. Step 4: Simplify right side
    8,966.90x = 42,011,796.43
  5. Step 5: Solve for x
    x = 42,011,796.43/8,966.90
  6. Step 6: Final answer
    x = 4,685.21

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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.