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Finding the Fourth Proportional to 9,419.36, 14,129.16 and 7,662.36

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Solution

The fourth proportional to 9,419.36, 14,129.16 and 7,662.36 is: 11,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.36 : 14,129.16 = 7,662.36 : x
  2. Step 2: Convert to fraction form
    9,419.36/14,129.16 = 7,662.36/x
  3. Step 3: Cross multiply
    9,419.36x = 14,129.16 × 7,662.36
  4. Step 4: Simplify right side
    9,419.36x = 108,262,710.42
  5. Step 5: Solve for x
    x = 108,262,710.42/9,419.36
  6. Step 6: Final answer
    x = 11,493.64

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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.