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Finding the Fourth Proportional to 9,295.36, 12,827.68 and 5,103.64

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Solution

The fourth proportional to 9,295.36, 12,827.68 and 5,103.64 is: 7,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.36 : 12,827.68 = 5,103.64 : x
  2. Step 2: Convert to fraction form
    9,295.36/12,827.68 = 5,103.64/x
  3. Step 3: Cross multiply
    9,295.36x = 12,827.68 × 5,103.64
  4. Step 4: Simplify right side
    9,295.36x = 65,467,860.76
  5. Step 5: Solve for x
    x = 65,467,860.76/9,295.36
  6. Step 6: Final answer
    x = 7,043.07

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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.