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Finding the Fourth Proportional to 9,003.21, 12,416.31 and 5,646.36

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Solution

The fourth proportional to 9,003.21, 12,416.31 and 5,646.36 is: 7,786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.21 : 12,416.31 = 5,646.36 : x
  2. Step 2: Convert to fraction form
    9,003.21/12,416.31 = 5,646.36/x
  3. Step 3: Cross multiply
    9,003.21x = 12,416.31 × 5,646.36
  4. Step 4: Simplify right side
    9,003.21x = 70,106,956.13
  5. Step 5: Solve for x
    x = 70,106,956.13/9,003.21
  6. Step 6: Final answer
    x = 7,786.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.