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Finding the Fourth Proportional to 9,764.68, 14,648.64 and 3,918.12

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Solution

The fourth proportional to 9,764.68, 14,648.64 and 3,918.12 is: 5,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.68 : 14,648.64 = 3,918.12 : x
  2. Step 2: Convert to fraction form
    9,764.68/14,648.64 = 3,918.12/x
  3. Step 3: Cross multiply
    9,764.68x = 14,648.64 × 3,918.12
  4. Step 4: Simplify right side
    9,764.68x = 57,395,129.36
  5. Step 5: Solve for x
    x = 57,395,129.36/9,764.68
  6. Step 6: Final answer
    x = 5,877.83

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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.