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Finding the Fourth Proportional to 9,854.73, 14,769.26 and 4,004.50

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Solution

The fourth proportional to 9,854.73, 14,769.26 and 4,004.50 is: 6,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.73 : 14,769.26 = 4,004.50 : x
  2. Step 2: Convert to fraction form
    9,854.73/14,769.26 = 4,004.50/x
  3. Step 3: Cross multiply
    9,854.73x = 14,769.26 × 4,004.50
  4. Step 4: Simplify right side
    9,854.73x = 59,143,501.67
  5. Step 5: Solve for x
    x = 59,143,501.67/9,854.73
  6. Step 6: Final answer
    x = 6,001.53

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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.