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Finding the Fourth Proportional to 9,225.79, 13,838.73 and 2,300.29

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Solution

The fourth proportional to 9,225.79, 13,838.73 and 2,300.29 is: 3,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.79 : 13,838.73 = 2,300.29 : x
  2. Step 2: Convert to fraction form
    9,225.79/13,838.73 = 2,300.29/x
  3. Step 3: Cross multiply
    9,225.79x = 13,838.73 × 2,300.29
  4. Step 4: Simplify right side
    9,225.79x = 31,833,092.23
  5. Step 5: Solve for x
    x = 31,833,092.23/9,225.79
  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.