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Finding the Fourth Proportional to 9,294.94, 12,827.29 and 5,103.46

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Solution

The fourth proportional to 9,294.94, 12,827.29 and 5,103.46 is: 7,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.94 : 12,827.29 = 5,103.46 : x
  2. Step 2: Convert to fraction form
    9,294.94/12,827.29 = 5,103.46/x
  3. Step 3: Cross multiply
    9,294.94x = 12,827.29 × 5,103.46
  4. Step 4: Simplify right side
    9,294.94x = 65,463,516.60
  5. Step 5: Solve for x
    x = 65,463,516.60/9,294.94
  6. Step 6: Final answer
    x = 7,042.92

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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.