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Finding the Fourth Proportional to 9,302.40, 12,822.30 and 7,309.80

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Solution

The fourth proportional to 9,302.40, 12,822.30 and 7,309.80 is: 10,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.40 : 12,822.30 = 7,309.80 : x
  2. Step 2: Convert to fraction form
    9,302.40/12,822.30 = 7,309.80/x
  3. Step 3: Cross multiply
    9,302.40x = 12,822.30 × 7,309.80
  4. Step 4: Simplify right side
    9,302.40x = 93,728,448.54
  5. Step 5: Solve for x
    x = 93,728,448.54/9,302.40
  6. Step 6: Final answer
    x = 10,075.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.