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Finding the Fourth Proportional to 9,819.40, 14,712.90 and 8,361.40

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Solution

The fourth proportional to 9,819.40, 14,712.90 and 8,361.40 is: 12,528.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.40 : 14,712.90 = 8,361.40 : x
  2. Step 2: Convert to fraction form
    9,819.40/14,712.90 = 8,361.40/x
  3. Step 3: Cross multiply
    9,819.40x = 14,712.90 × 8,361.40
  4. Step 4: Simplify right side
    9,819.40x = 123,020,442.06
  5. Step 5: Solve for x
    x = 123,020,442.06/9,819.40
  6. Step 6: Final answer
    x = 12,528.31

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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.