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Finding the Fourth Proportional to 9,342.82, 12,892.14 and 5,364.53

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Solution

The fourth proportional to 9,342.82, 12,892.14 and 5,364.53 is: 7,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.82 : 12,892.14 = 5,364.53 : x
  2. Step 2: Convert to fraction form
    9,342.82/12,892.14 = 5,364.53/x
  3. Step 3: Cross multiply
    9,342.82x = 12,892.14 × 5,364.53
  4. Step 4: Simplify right side
    9,342.82x = 69,160,240.59
  5. Step 5: Solve for x
    x = 69,160,240.59/9,342.82
  6. Step 6: Final answer
    x = 7,402.50

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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.