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Finding the Fourth Proportional to 8,946.83, 12,326.31 and 6,923.28

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Solution

The fourth proportional to 8,946.83, 12,326.31 and 6,923.28 is: 9,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.83 : 12,326.31 = 6,923.28 : x
  2. Step 2: Convert to fraction form
    8,946.83/12,326.31 = 6,923.28/x
  3. Step 3: Cross multiply
    8,946.83x = 12,326.31 × 6,923.28
  4. Step 4: Simplify right side
    8,946.83x = 85,338,495.50
  5. Step 5: Solve for x
    x = 85,338,495.50/8,946.83
  6. Step 6: Final answer
    x = 9,538.41

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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.