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Finding the Fourth Proportional to 9,300.26, 13,950.16 and 2,280.22

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Solution

The fourth proportional to 9,300.26, 13,950.16 and 2,280.22 is: 3,420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.26 : 13,950.16 = 2,280.22 : x
  2. Step 2: Convert to fraction form
    9,300.26/13,950.16 = 2,280.22/x
  3. Step 3: Cross multiply
    9,300.26x = 13,950.16 × 2,280.22
  4. Step 4: Simplify right side
    9,300.26x = 31,809,393.26
  5. Step 5: Solve for x
    x = 31,809,393.26/9,300.26
  6. Step 6: Final answer
    x = 3,420.27

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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.