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Finding the Fourth Proportional to 9,612.12, 14,428.98 and 7,446.96

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Solution

The fourth proportional to 9,612.12, 14,428.98 and 7,446.96 is: 11,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.12 : 14,428.98 = 7,446.96 : x
  2. Step 2: Convert to fraction form
    9,612.12/14,428.98 = 7,446.96/x
  3. Step 3: Cross multiply
    9,612.12x = 14,428.98 × 7,446.96
  4. Step 4: Simplify right side
    9,612.12x = 107,452,036.90
  5. Step 5: Solve for x
    x = 107,452,036.90/9,612.12
  6. Step 6: Final answer
    x = 11,178.81

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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.