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Finding the Fourth Proportional to 9,281.72, 13,923.23 and 3,735.11

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Solution

The fourth proportional to 9,281.72, 13,923.23 and 3,735.11 is: 5,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.72 : 13,923.23 = 3,735.11 : x
  2. Step 2: Convert to fraction form
    9,281.72/13,923.23 = 3,735.11/x
  3. Step 3: Cross multiply
    9,281.72x = 13,923.23 × 3,735.11
  4. Step 4: Simplify right side
    9,281.72x = 52,004,811.74
  5. Step 5: Solve for x
    x = 52,004,811.74/9,281.72
  6. Step 6: Final answer
    x = 5,602.93

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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.