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Finding the Fourth Proportional to 9,402.34, 12,975.30 and 5,423.44

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Solution

The fourth proportional to 9,402.34, 12,975.30 and 5,423.44 is: 7,484.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.34 : 12,975.30 = 5,423.44 : x
  2. Step 2: Convert to fraction form
    9,402.34/12,975.30 = 5,423.44/x
  3. Step 3: Cross multiply
    9,402.34x = 12,975.30 × 5,423.44
  4. Step 4: Simplify right side
    9,402.34x = 70,370,761.03
  5. Step 5: Solve for x
    x = 70,370,761.03/9,402.34
  6. Step 6: Final answer
    x = 7,484.39

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Why These Related Problems?

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