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Finding the Fourth Proportional to 9,379.68, 12,940.08 and 6,024.46

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Solution

The fourth proportional to 9,379.68, 12,940.08 and 6,024.46 is: 8,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.68 : 12,940.08 = 6,024.46 : x
  2. Step 2: Convert to fraction form
    9,379.68/12,940.08 = 6,024.46/x
  3. Step 3: Cross multiply
    9,379.68x = 12,940.08 × 6,024.46
  4. Step 4: Simplify right side
    9,379.68x = 77,956,994.36
  5. Step 5: Solve for x
    x = 77,956,994.36/9,379.68
  6. Step 6: Final answer
    x = 8,311.26

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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.