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Finding the Fourth Proportional to 9,302.46, 12,836.31 and 5,323.34

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Solution

The fourth proportional to 9,302.46, 12,836.31 and 5,323.34 is: 7,345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.46 : 12,836.31 = 5,323.34 : x
  2. Step 2: Convert to fraction form
    9,302.46/12,836.31 = 5,323.34/x
  3. Step 3: Cross multiply
    9,302.46x = 12,836.31 × 5,323.34
  4. Step 4: Simplify right side
    9,302.46x = 68,331,978.29
  5. Step 5: Solve for x
    x = 68,331,978.29/9,302.46
  6. Step 6: Final answer
    x = 7,345.58

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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.