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Finding the Fourth Proportional to 9,918.96, 14,864.46 and 7,829.78

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Solution

The fourth proportional to 9,918.96, 14,864.46 and 7,829.78 is: 11,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.96 : 14,864.46 = 7,829.78 : x
  2. Step 2: Convert to fraction form
    9,918.96/14,864.46 = 7,829.78/x
  3. Step 3: Cross multiply
    9,918.96x = 14,864.46 × 7,829.78
  4. Step 4: Simplify right side
    9,918.96x = 116,385,377.30
  5. Step 5: Solve for x
    x = 116,385,377.30/9,918.96
  6. Step 6: Final answer
    x = 11,733.63

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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.