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Finding the Fourth Proportional to 9,593.70, 14,401.35 and 7,412.10

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Solution

The fourth proportional to 9,593.70, 14,401.35 and 7,412.10 is: 11,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.70 : 14,401.35 = 7,412.10 : x
  2. Step 2: Convert to fraction form
    9,593.70/14,401.35 = 7,412.10/x
  3. Step 3: Cross multiply
    9,593.70x = 14,401.35 × 7,412.10
  4. Step 4: Simplify right side
    9,593.70x = 106,744,246.34
  5. Step 5: Solve for x
    x = 106,744,246.34/9,593.70
  6. Step 6: Final answer
    x = 11,126.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.