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Finding the Fourth Proportional to 9,225.81, 13,838.67 and 2,300.31

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Solution

The fourth proportional to 9,225.81, 13,838.67 and 2,300.31 is: 3,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.81 : 13,838.67 = 2,300.31 : x
  2. Step 2: Convert to fraction form
    9,225.81/13,838.67 = 2,300.31/x
  3. Step 3: Cross multiply
    9,225.81x = 13,838.67 × 2,300.31
  4. Step 4: Simplify right side
    9,225.81x = 31,833,230.99
  5. Step 5: Solve for x
    x = 31,833,230.99/9,225.81
  6. Step 6: Final answer
    x = 3,450.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.