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Finding the Fourth Proportional to 9,340.92, 12,893.58 and 6,196.50

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Solution

The fourth proportional to 9,340.92, 12,893.58 and 6,196.50 is: 8,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.92 : 12,893.58 = 6,196.50 : x
  2. Step 2: Convert to fraction form
    9,340.92/12,893.58 = 6,196.50/x
  3. Step 3: Cross multiply
    9,340.92x = 12,893.58 × 6,196.50
  4. Step 4: Simplify right side
    9,340.92x = 79,895,068.47
  5. Step 5: Solve for x
    x = 79,895,068.47/9,340.92
  6. Step 6: Final answer
    x = 8,553.23

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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.