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Finding the Fourth Proportional to 9,793.59, 14,672.03 and 4,857.45

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Solution

The fourth proportional to 9,793.59, 14,672.03 and 4,857.45 is: 7,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.59 : 14,672.03 = 4,857.45 : x
  2. Step 2: Convert to fraction form
    9,793.59/14,672.03 = 4,857.45/x
  3. Step 3: Cross multiply
    9,793.59x = 14,672.03 × 4,857.45
  4. Step 4: Simplify right side
    9,793.59x = 71,268,627.84
  5. Step 5: Solve for x
    x = 71,268,627.84/9,793.59
  6. Step 6: Final answer
    x = 7,277.07

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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.