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Finding the Fourth Proportional to 9,402.24, 12,956.16 and 7,027.20

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Solution

The fourth proportional to 9,402.24, 12,956.16 and 7,027.20 is: 9,683.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.24 : 12,956.16 = 7,027.20 : x
  2. Step 2: Convert to fraction form
    9,402.24/12,956.16 = 7,027.20/x
  3. Step 3: Cross multiply
    9,402.24x = 12,956.16 × 7,027.20
  4. Step 4: Simplify right side
    9,402.24x = 91,045,527.55
  5. Step 5: Solve for x
    x = 91,045,527.55/9,402.24
  6. Step 6: Final answer
    x = 9,683.39

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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.