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Finding the Fourth Proportional to 9,302.25, 12,836.97 and 5,323.80

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Solution

The fourth proportional to 9,302.25, 12,836.97 and 5,323.80 is: 7,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.25 : 12,836.97 = 5,323.80 : x
  2. Step 2: Convert to fraction form
    9,302.25/12,836.97 = 5,323.80/x
  3. Step 3: Cross multiply
    9,302.25x = 12,836.97 × 5,323.80
  4. Step 4: Simplify right side
    9,302.25x = 68,341,460.89
  5. Step 5: Solve for x
    x = 68,341,460.89/9,302.25
  6. Step 6: Final answer
    x = 7,346.77

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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.