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Finding the Fourth Proportional to 9,654.55, 13,322.03 and 5,674.21

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Solution

The fourth proportional to 9,654.55, 13,322.03 and 5,674.21 is: 7,829.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.55 : 13,322.03 = 5,674.21 : x
  2. Step 2: Convert to fraction form
    9,654.55/13,322.03 = 5,674.21/x
  3. Step 3: Cross multiply
    9,654.55x = 13,322.03 × 5,674.21
  4. Step 4: Simplify right side
    9,654.55x = 75,591,934.17
  5. Step 5: Solve for x
    x = 75,591,934.17/9,654.55
  6. Step 6: Final answer
    x = 7,829.67

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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.