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Finding the Fourth Proportional to 9,612.96, 14,409.54 and 6,973.89

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Solution

The fourth proportional to 9,612.96, 14,409.54 and 6,973.89 is: 10,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.96 : 14,409.54 = 6,973.89 : x
  2. Step 2: Convert to fraction form
    9,612.96/14,409.54 = 6,973.89/x
  3. Step 3: Cross multiply
    9,612.96x = 14,409.54 × 6,973.89
  4. Step 4: Simplify right side
    9,612.96x = 100,490,546.91
  5. Step 5: Solve for x
    x = 100,490,546.91/9,612.96
  6. Step 6: Final answer
    x = 10,453.65

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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.