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Finding the Fourth Proportional to 9,564.21, 14,345.64 and 3,327.21

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Solution

The fourth proportional to 9,564.21, 14,345.64 and 3,327.21 is: 4,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.21 : 14,345.64 = 3,327.21 : x
  2. Step 2: Convert to fraction form
    9,564.21/14,345.64 = 3,327.21/x
  3. Step 3: Cross multiply
    9,564.21x = 14,345.64 × 3,327.21
  4. Step 4: Simplify right side
    9,564.21x = 47,730,956.86
  5. Step 5: Solve for x
    x = 47,730,956.86/9,564.21
  6. Step 6: Final answer
    x = 4,990.58

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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.