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Finding the Fourth Proportional to 11,838.50, 16,343.00 and 9,281.77

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Solution

The fourth proportional to 11,838.50, 16,343.00 and 9,281.77 is: 12,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.50 : 16,343.00 = 9,281.77 : x
  2. Step 2: Convert to fraction form
    11,838.50/16,343.00 = 9,281.77/x
  3. Step 3: Cross multiply
    11,838.50x = 16,343.00 × 9,281.77
  4. Step 4: Simplify right side
    11,838.50x = 151,692,006.58
  5. Step 5: Solve for x
    x = 151,692,006.58/11,838.50
  6. Step 6: Final answer
    x = 12,813.44

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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.