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Finding the Fourth Proportional to 9,446.18, 13,035.38 and 5,254.34

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Solution

The fourth proportional to 9,446.18, 13,035.38 and 5,254.34 is: 7,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.18 : 13,035.38 = 5,254.34 : x
  2. Step 2: Convert to fraction form
    9,446.18/13,035.38 = 5,254.34/x
  3. Step 3: Cross multiply
    9,446.18x = 13,035.38 × 5,254.34
  4. Step 4: Simplify right side
    9,446.18x = 68,492,318.55
  5. Step 5: Solve for x
    x = 68,492,318.55/9,446.18
  6. Step 6: Final answer
    x = 7,250.80

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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.