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Finding the Fourth Proportional to 9,402.10, 12,975 and 5,423.14

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Solution

The fourth proportional to 9,402.10, 12,975 and 5,423.14 is: 7,483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.10 : 12,975 = 5,423.14 : x
  2. Step 2: Convert to fraction form
    9,402.10/12,975 = 5,423.14/x
  3. Step 3: Cross multiply
    9,402.10x = 12,975 × 5,423.14
  4. Step 4: Simplify right side
    9,402.10x = 70,365,241.50
  5. Step 5: Solve for x
    x = 70,365,241.50/9,402.10
  6. Step 6: Final answer
    x = 7,483.99

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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.