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Finding the Fourth Proportional to 9,193.30, 12,683.10 and 6,005.56

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Solution

The fourth proportional to 9,193.30, 12,683.10 and 6,005.56 is: 8,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.30 : 12,683.10 = 6,005.56 : x
  2. Step 2: Convert to fraction form
    9,193.30/12,683.10 = 6,005.56/x
  3. Step 3: Cross multiply
    9,193.30x = 12,683.10 × 6,005.56
  4. Step 4: Simplify right side
    9,193.30x = 76,169,118.04
  5. Step 5: Solve for x
    x = 76,169,118.04/9,193.30
  6. Step 6: Final answer
    x = 8,285.29

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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.