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Finding the Fourth Proportional to 9,812.49, 13,534.37 and 6,454.23

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Solution

The fourth proportional to 9,812.49, 13,534.37 and 6,454.23 is: 8,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.49 : 13,534.37 = 6,454.23 : x
  2. Step 2: Convert to fraction form
    9,812.49/13,534.37 = 6,454.23/x
  3. Step 3: Cross multiply
    9,812.49x = 13,534.37 × 6,454.23
  4. Step 4: Simplify right side
    9,812.49x = 87,353,953.02
  5. Step 5: Solve for x
    x = 87,353,953.02/9,812.49
  6. Step 6: Final answer
    x = 8,902.32

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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.