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Finding the Fourth Proportional to 9,000.40, 13,500.60 and 3,154.90

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Solution

The fourth proportional to 9,000.40, 13,500.60 and 3,154.90 is: 4,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.40 : 13,500.60 = 3,154.90 : x
  2. Step 2: Convert to fraction form
    9,000.40/13,500.60 = 3,154.90/x
  3. Step 3: Cross multiply
    9,000.40x = 13,500.60 × 3,154.90
  4. Step 4: Simplify right side
    9,000.40x = 42,593,042.94
  5. Step 5: Solve for x
    x = 42,593,042.94/9,000.40
  6. Step 6: Final answer
    x = 4,732.35

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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.