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Finding the Fourth Proportional to 9,402.84, 12,975.86 and 5,423.94

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Solution

The fourth proportional to 9,402.84, 12,975.86 and 5,423.94 is: 7,485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.84 : 12,975.86 = 5,423.94 : x
  2. Step 2: Convert to fraction form
    9,402.84/12,975.86 = 5,423.94/x
  3. Step 3: Cross multiply
    9,402.84x = 12,975.86 × 5,423.94
  4. Step 4: Simplify right side
    9,402.84x = 70,380,286.09
  5. Step 5: Solve for x
    x = 70,380,286.09/9,402.84
  6. Step 6: Final answer
    x = 7,485.00

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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.