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Finding the Fourth Proportional to 9,342.68, 12,892.10 and 5,309.46

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Solution

The fourth proportional to 9,342.68, 12,892.10 and 5,309.46 is: 7,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.68 : 12,892.10 = 5,309.46 : x
  2. Step 2: Convert to fraction form
    9,342.68/12,892.10 = 5,309.46/x
  3. Step 3: Cross multiply
    9,342.68x = 12,892.10 × 5,309.46
  4. Step 4: Simplify right side
    9,342.68x = 68,450,062.72
  5. Step 5: Solve for x
    x = 68,450,062.72/9,342.68
  6. Step 6: Final answer
    x = 7,326.60

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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.