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Finding the Fourth Proportional to 9,214.80, 12,451.50 and 9,214.80

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Solution

The fourth proportional to 9,214.80, 12,451.50 and 9,214.80 is: 12,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.80 : 12,451.50 = 9,214.80 : x
  2. Step 2: Convert to fraction form
    9,214.80/12,451.50 = 9,214.80/x
  3. Step 3: Cross multiply
    9,214.80x = 12,451.50 × 9,214.80
  4. Step 4: Simplify right side
    9,214.80x = 114,738,082.20
  5. Step 5: Solve for x
    x = 114,738,082.20/9,214.80
  6. Step 6: Final answer
    x = 12,451.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.