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Finding the Fourth Proportional to 8,994.39, 12,405.58 and 5,964

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Solution

The fourth proportional to 8,994.39, 12,405.58 and 5,964 is: 8,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,994.39 : 12,405.58 = 5,964 : x
  2. Step 2: Convert to fraction form
    8,994.39/12,405.58 = 5,964/x
  3. Step 3: Cross multiply
    8,994.39x = 12,405.58 × 5,964
  4. Step 4: Simplify right side
    8,994.39x = 73,986,879.12
  5. Step 5: Solve for x
    x = 73,986,879.12/8,994.39
  6. Step 6: Final answer
    x = 8,225.89

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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.