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Finding the Fourth Proportional to 8,814.94, 13,219.71 and 2,969.98

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Solution

The fourth proportional to 8,814.94, 13,219.71 and 2,969.98 is: 4,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.94 : 13,219.71 = 2,969.98 : x
  2. Step 2: Convert to fraction form
    8,814.94/13,219.71 = 2,969.98/x
  3. Step 3: Cross multiply
    8,814.94x = 13,219.71 × 2,969.98
  4. Step 4: Simplify right side
    8,814.94x = 39,262,274.31
  5. Step 5: Solve for x
    x = 39,262,274.31/8,814.94
  6. Step 6: Final answer
    x = 4,454.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.