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Finding the Fourth Proportional to 8,993.10, 12,409.90 and 5,013.98

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Solution

The fourth proportional to 8,993.10, 12,409.90 and 5,013.98 is: 6,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.10 : 12,409.90 = 5,013.98 : x
  2. Step 2: Convert to fraction form
    8,993.10/12,409.90 = 5,013.98/x
  3. Step 3: Cross multiply
    8,993.10x = 12,409.90 × 5,013.98
  4. Step 4: Simplify right side
    8,993.10x = 62,222,903.28
  5. Step 5: Solve for x
    x = 62,222,903.28/8,993.10
  6. Step 6: Final answer
    x = 6,918.96

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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.