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Finding the Fourth Proportional to 9,849.54, 14,773.23 and 2,923.50

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Solution

The fourth proportional to 9,849.54, 14,773.23 and 2,923.50 is: 4,384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.54 : 14,773.23 = 2,923.50 : x
  2. Step 2: Convert to fraction form
    9,849.54/14,773.23 = 2,923.50/x
  3. Step 3: Cross multiply
    9,849.54x = 14,773.23 × 2,923.50
  4. Step 4: Simplify right side
    9,849.54x = 43,189,537.91
  5. Step 5: Solve for x
    x = 43,189,537.91/9,849.54
  6. Step 6: Final answer
    x = 4,384.93

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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.