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Finding the Fourth Proportional to 9,101.34, 13,655.30 and 3,179.10

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Solution

The fourth proportional to 9,101.34, 13,655.30 and 3,179.10 is: 4,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.34 : 13,655.30 = 3,179.10 : x
  2. Step 2: Convert to fraction form
    9,101.34/13,655.30 = 3,179.10/x
  3. Step 3: Cross multiply
    9,101.34x = 13,655.30 × 3,179.10
  4. Step 4: Simplify right side
    9,101.34x = 43,411,599.54
  5. Step 5: Solve for x
    x = 43,411,599.54/9,101.34
  6. Step 6: Final answer
    x = 4,769.80

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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.