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Finding the Fourth Proportional to 9,411.56, 14,096.10 and 5,403.80

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Solution

The fourth proportional to 9,411.56, 14,096.10 and 5,403.80 is: 8,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.56 : 14,096.10 = 5,403.80 : x
  2. Step 2: Convert to fraction form
    9,411.56/14,096.10 = 5,403.80/x
  3. Step 3: Cross multiply
    9,411.56x = 14,096.10 × 5,403.80
  4. Step 4: Simplify right side
    9,411.56x = 76,172,505.18
  5. Step 5: Solve for x
    x = 76,172,505.18/9,411.56
  6. Step 6: Final answer
    x = 8,093.50

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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.