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Finding the Fourth Proportional to 9,142.49, 13,743.14 and 8,492.54

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Solution

The fourth proportional to 9,142.49, 13,743.14 and 8,492.54 is: 12,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.49 : 13,743.14 = 8,492.54 : x
  2. Step 2: Convert to fraction form
    9,142.49/13,743.14 = 8,492.54/x
  3. Step 3: Cross multiply
    9,142.49x = 13,743.14 × 8,492.54
  4. Step 4: Simplify right side
    9,142.49x = 116,714,055.00
  5. Step 5: Solve for x
    x = 116,714,055.00/9,142.49
  6. Step 6: Final answer
    x = 12,766.11

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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.