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Finding the Fourth Proportional to 9,694.12, 13,445.87 and 9,300.46

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Solution

The fourth proportional to 9,694.12, 13,445.87 and 9,300.46 is: 12,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.12 : 13,445.87 = 9,300.46 : x
  2. Step 2: Convert to fraction form
    9,694.12/13,445.87 = 9,300.46/x
  3. Step 3: Cross multiply
    9,694.12x = 13,445.87 × 9,300.46
  4. Step 4: Simplify right side
    9,694.12x = 125,052,776.10
  5. Step 5: Solve for x
    x = 125,052,776.10/9,694.12
  6. Step 6: Final answer
    x = 12,899.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.